{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 绘制折线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x= np.linspace(0,10,100)\n",
    "siny= np.sin(x)\n",
    "cosy= np.cos(x)\n",
    "tany= np.tan(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,siny,c= 'b',linestyle= \"--\",label= \"sin(x)\")\n",
    "plt.plot(x,cosy,c= 'r',linestyle= \"-.\",label= \"cos(x)\")\n",
    "plt.xlim(-1,12)\n",
    "plt.ylim(-1.5,1.5)\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend(loc= 3) ##图例\n",
    "plt.title(\"First step\") ##标题\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-1, 11, -45, 25]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,tany,c= 'black')\n",
    "plt.axis([-1,11,-45,25])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 绘制散点图（Scatter plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f09dfca6210>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,siny,s= 0.5,c= \"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VD/zhupnX8aLGOkccqYsmXeddGPeG+Top2/K7wwWxUkghOC1byqlhlMV4H9oJjLOYRanxDkZZ9Fgu40X3xOtUmbztPe3fFTpD/o7zTZJQT3p3q9rwy7sTNvrpK8dNzxUn51/wcz30s4z5s7ax0U+pWxPK3VUonZ8ULdb7Cw+0EoJ51bI5SOgnEasmQZ0JHk4rPj9a0UtjwKOU5MGsYCOPaaUkEoJSW66MEh5Mav7wekqtDV+cFBzOKzbymONEsd1PUEKSRIK9dcVm0KOLEBOPBFJA1VqOTEVjwrGOezGLWpOkEdpanPPcPyvZGiRo5zHOIa1AG8d02bKsWiIpuDep2OmnxEqiRMnBrOIvPtxifyPs+/KUo/uTgjRS7G/meE847l7MnZMCY0MC9mBa0kvii9VBJCXDNObOWcGtnQF5rHDe4T1IIajMl7mMF5Xjfxvl+u9bOf23QWfI32MuJxdrbTkrWpSU1K1hkEbP/YJe9srwnsY6juY1/SxidxA05J+frMgjCUK8tOc2yiIGaXSR8DycV0gRdOBBjidIlGSybNkdpbTWMltXZRZVy0JbskQyrTS9WHKln4ISzGvD9XHOlXFGokKfkzxRzMqWWHrSRLHRC9OD7pysuLHV44d7A+DxOO6y1pwuG46WDc56IgX3JgVZpBhmI358ZUSkBA+mFeDZ6MfkcQQetgcJd04Kam0Y92KUDEMvRrEiTwXHy4bGWG5tDThbNXjv1+cc/kaPZg3jPMUR9OZ7w4zaWH59sCBPI5z3HC8afvVgzkc7OeN8fb0FlI1mWmjSqALgYFIybw2ZFFzdzNgepHxybfxMFcnBLISD7k9Cy4O9UYZYP+zO76XOGL85OkP+nnHZAB8v6ovRYudTdCIp1s2fwhf5aV/QJ2dhPpjVnC5r9kbZWkPesNmLmRYNZaz4YLP30p7bkzHToNeGzX526fhrrPc45zktWorGcLZoaB3gPEXj2OqlyF5KGjcoCTvasdlPEN5zMK/I06BZ7qWKvUHOF6dLfn9ScHXUY6OfrPXMFb0kIosV984KhnnM0aJkWrRU2nN1lJMnEkEwyK31zOuWorYhCQvcOS3xHsATRYJIhcESR4uWQaqQImVrkLCoDdv9iEezKiR7a81PrgzR1vHja6OLa26cD15/JPDO88XJkmml+fGVMf/8cMHuKGUji7g/rTiaN9zY7pFKyRdnBf1UMc4jfvtoyd1pwf5GxiCJqVvHg2nJD3YGT1WRWOe4d1bw8d4QIUCtVyab/YSysTQmrD66Qp43R2fI3yDfdUXbk8tiJYPn+MFWj8a4EBu2/qLf9rNkYJe9tsN5Qz+NmBeSedlSa0fRGu6cLbm52cd7Ljzp888+y3M7vx6tccyqll4SI6XAOsfRoiZRktY6pJBc3cg4WTR4B9o6klghpGCYRZysGm7thHPa8W5tsD1Hi5pVpdHWM0wND6YleSzX6o3QPzyNwHvP/UkZGmaNUsCz2U+YVy2t9jyc1Nza7ZMnkko7llVLP1G02jLK+vzu8AzjHM6FsMHRomZetszXEsXzkMi0bEIM3oP2Fik8i0ZzbdSjF0vuTlbcOyu5c1ogpQAERdNyumqZFS0/ujrk4bRklMXcm6zYHqQsK0M/j7g3Kfl4b4B3nrO6xXjPT6+OuHtWsGw0V8c5WaRIEsUwjZkVLb95tOCDrfDQdd6FlgbWcboKfWKSSJLF4QHoLPz+cMn+Ro9YSaz8agimq9b87ug0Pm+IN1HR9uQsw71RBniOlzWJElStpbWWzX4ojnmWDOxyReT5GDWpBA9nFd7DIFGsasvxssHzZT/y543bunw98vX1uDcpWFQtjfFEUuCc5+7pikobro5yNnoxtTFoE6bQXx3n7I1ydvop2nnGeYKznkmhmVUtZWMAQT9VpInCOcey0vzucEEvi/nhlSFSSrQVtMZijOV3xyt+e7ji89MVZ4XG4ullisNFzeGiXsfqM8a9GG0dk6JBG8+80CAER4uKjTwhUYJICM4WDbOiJY0EgyQCAadFw6I0zFYtgzim1IaytXxxEsIYy6ZlWbf8w8MJk0JjnSNJJH/7xYTWe7ZHGc4LpkXLdj8Mvvg3f7DFuBczLTWREPzlBxtsDRK2+ilpLMkiwbRqwa3j/x6+OA1Vr4tac39S4Fy47mVtsS5Uu270ElrjmJct3vkgvbSevWF2UYHaVWt+93Qe+RviTVS0PblszmLFjc0ej2YVg15C2Ybuf2kkL+ZFPu1YHtf+eh7Na+6cFZwuGiKpUBKKRmNMGLZwdRQkiM/TB1+eeH9vEjoBHs4qhBDsb2QY5wBBP4uxDmZly7wyLGuDAG5s9S+GIl/byFFSIoRnc5ASxZLPjwumRcMoC0MleqkikhIrPKW23NgIHmqeRKyUpmzD8U5WLcY3OB/UM/Na442ntYZhFnG6bBikMaM8ZpB5rnjY6MUcLSvi1pCq4J3GUUQ/c0RKUlvH1iBlXrWcLlp6maRoDA8XJdeF4Mo45bdHS5rWcnO7h5SKstEMktDb3APOeoy1aO24N6nYSBUaWDRhmMVf3tpCCcm6yDY8BKcFzjkSpVjWmq1eSj+LWDSGXhyStUVjyCNJGSuM93jvyZOIs6KlsQt+dGXE1XHoJhnJkPS9Og493r33lK39yr1dtZrPTlb86t6UW7t9Pt4dXlTSdrweOkP+hviuKtouL3GnZYNzyUW5O4CSkpvb/cdauj5PBlZrS2NCzNR5OF5UnKwaHk0rPtjKmRQ1ZWPZHCZs9iO0djyaVewMUsS6R8eTx5VGkkWl2ewn3J2UzEpNP43Ckt17ytYxzOHWdp9xFvGLu1MGacRGpvi72yVVa/jD62MGvRAiMNYxLRqGecJ01dI4T5YoNvoJiYqCLFFahklEGkk28phhHjErNb00IpaCJIo4WdTrv4dHILl3WtLPIrJIgozwDora4J3nB7t9pJJMiyaEepTiaNGQRpBEEQiPRzDIJKoVKGCQRIghVMaGYqSdIdv9hMNFw6rS3NjKqVpDYyyz0pDHgpNlQz9VnBVtiM9LwTgP7QliCdbCR9s9nANLWF3NipbPjpY8mFX8wV6fzX5yEWJrWstKW4ZbPT7e6YcVkxDsDlKOljUH01C5KoCiMjyalWwPMnaHKXvD7LF76fxBffnenpct//RwQZ5I8kRhLfzy7oQ//3CrM+avkc6QvyFeZ0Xb8yr9LsfErUu4PynYG2Vo6ygbixDw0/0x8GIZ2OXtXdvI+Jvfn9IYxzCN8SNPbTxxLPhoPODKKKNqg4LE+pAE/MP9jWdK2M57qpwuW3qJIpLiYiBEL1GcLltubcNJEeLRB/OKyaph1IvweG4fr9joxWyPUq72c/pZRNlYrAjXNFaCSEqcs2irWJQt2nl6seSPrm/QascfXBlS1Jp/uD/DeaiMobUWIQTGGU5WNdMS8lhxa3fAsg0PHI9HSMFGHjMrNCfLliujFOsci1Jz52wRNNwIskhSt5bKOgZxxK2dPkfzige14WTVcrRo2BqkREquHywxH2ykPJhWFLXnZNWy0U/CYOh+TFEbpkUbFDrjlEbDtNK4s4KP9gYcziqWtWVRGyIlOFw03NgMce1Hk5JHi4rdUcbeMGPRGLbX+ZEHs5qiMQzTGATMq5BDcQ4Wdcsn++OLfMaThTxnq+Yizv7L+1OqxqKdYpzF9NYNyz4/WfKXH26/8r3+Ovk+xfG/sSEXQnwA/A/AVcABf+29/2+/6Xa/77yuirZZ2fLpwRwP9GLFIIsvyq2fXOKO8pjdUcZnJyt2Bim9JLz/bNVctJI952k3+eXtna1cmHEZS05WDT+5PuZ40TAtm9A0y4Nxjh9d2QhT5Uv92MpgtE6eweM9VaxxOCUomhAnrrTlZFERKcU4j/n8ZMmt7R73JxXTouXhvGR3mNFfy+8mRcuH2wMWtabQhmmhmRbNOpHrqLSjbCvyOCKJFLtbOXvDlONFwz89nOPxxLEkjxSfHS+ZFi1RJImlIJYC7TzzylA2FikFe6MU7eBwWrGqDf9wb0qjHfubGZNSc7KoESIkULV1tNojBaxag3OePIlpjUUbz0YvxuA4nFcoIE0ifnQlwRGki58fLRkkEd5ZroxTzgrN/iilajWJUnxxWvLjq+O1tFHy28MFzoe/exYrkjjINlvj+dMPNtjIFIfLlr/4cJNUKUptqNZtfiEcb5JGYbSdkmwPEz7c6lO29kIO+mBShHzLML1YwW0PUm4fL5mUmlVlGKaK1jga62iMJYtDkdRl3nTi/21oF/xNeB0euQH+c+/93wshhsAvhBD/p/f+09ew7e8tr6sq89cHcyIpL6a4T4qGrf6XhTlPhm+MdewMUn64N7x4rV0X8FwOezycBtncqtGUjeXeWVBOJEqiXegCKJVACIFHoKRkb5QyKRqMDePO9jdDbHxR6ccm1B/OHGemvlBBQHiYtdbTese9oxIlBKmCVaVZtYZBqvj5nVOmheZwWmGBJJKM8oR7pyW7w5idQUaWKO5PCm4fLzlcNLStCfrqVYV1gkQptLNIaxn1Yq6Ocoo2dEB8NCtDMy4fCo7yRLGoBN4HKeHN7QFfnCwptblI+E5LzfXNHo8WJfdmFfOiwXn4zUFLrBS3tnKOipaiseyPMxat5d5JQRIBXnC6qmiNZ3+UEyeC1McU2iCUJI0E1jr+39sTeqnih3sjklhyd1KGwRejnNqGJOSoFzP0Edo6vjhZIYGitewMvtTaN41hVhs+O1nyxzfGCBG6VR4tavrpeXWn4d5pwY2tHkJAWRvyLGJ/I8P5sGrE+wsj+NHu4MIJuXxvZ0lE2lqSONwvV8Y5EsF8XY17eT7qmzCq37eui9/YkHvvHwGP1j8vhRC/Bq4DnSF/Ad+0oi0UjQSVhxCCeH0zrmodOuo9JXxTNvaFsfnz7Z73PBnmMbOy5TcP5/zk2oiNXoKSglVjAMM4i2h0aA51YyMPsehIcWWYXUybH+cxkyI8XEodHlzTouXaRk6tLQ+mFb1E8cfXxxzNKz4/WQEwSGOySFG0DiFDPPv3JyuaxiOVw1iPdp5hFuLGWSM4mAcJ5QebPY5XNb85mGPWvdF7sUKhsNYzWbR8nhT8+MqAfhKzqAxXRjl3JksOZhVlbVjUhl4ikVJxMC0otcVZz9GsYnuYMNWWsg39XfCCYS/BOThatsyrinltuDJK6SWSZaOZFQbtLREx1zYy7pys8DgKo8lsxKxqKJqQJN3IIhywv5nTGEdlLEIK/vLDTRrjEB7aouEHewPmpQ4thFkriYSkaR2/OZhxc2+Is57jVUvZaGKleDgJuY0Pt3ts5SlLa/j86JT9zRwJCATDLEZ4zyBL8Ov/tSaEmhIlX2gEP9jqMc5j/unhAus8SsG80gg8f/7h1mP325tO/MO73XXxtcbIhRC3gD8H/vYpv/sr4K8Abt68+Tp3+97SGEcvVRetYyFMmlnUhr318vTJ8I0QMMjix7azrA2LuuX2CReJx8aEoqB4HTPV1jHKQwn6IIvZHiRBmeJgnIfJObOi5cPdAdfGOWkkL6bN9xLFsjaksVqXh3seTiqMdVwdZ8EI4hn34jAsojY4A7U7l7uFkv1lqRESqsayrDSHq4btPOLGdg9tQdeG24uGs6qmF0UksSSLJGkcEXtH3RiOtWWQRmz2Ehrn+OxoyeGk4NbekEob/uHBlHtnJeMs5tZOn9pYisayO8o4mJTEKpxDnkQsa0eeKFpjKWuDEIJRHnNvUrBq2mB4vUEIx0YeU2motEV4qFuLAyIJrXYczmrqNnQk3O5l1DpIJRtjWVYtRWsZpTGLqsV5x5VRTpYqtHVs91MWVYsSksNlTd1axnmCUoJSe7Tx1K2lF0dU2lIZw3KmyVLFvDL86sGU7V6QJi4qQz9R1MaSRQpPaC1QNIabWz32N3sczKoX9kw/dyLGvYQ/uj7i3qRksmoZ5NFXEp1vwqh+37ouvjZDLoQYAP8L8J957xdP/t57/9fAXwP87Gc/80/+vuPVSSPJII05K0K8MZJBCy7gIsb4ZPjmp5eSVNY5Hk5L7p6VYWRZP8j3pmVLqx3bw/RiX1UTGlVlSWgpq31QoCxKjXXw4Xafn93aQklJayz7axXM5ydLfnl3ShJJPtzuYx3rohwAsx0AACAASURBVB7Bch0HN8ZxY7PH8bJhXrZYD9ujhNOiZVJoThYV4yxi0Vich1nZkApII0HrPCeLhlhqGmuZ1S0xisIYZqUFIUiEIFn3cam0BYLmPU8jNvOIo9pRmfCgqhqzDlG1eAFVbZmXmn9u5qQynMOyNZyuGjb6MXixrsYM0sI7p0tWrQl/BwHeWbS2NOvrFrzO0DN9smzRHlS0lptIjxAOj6SfxQgBh/OafhpzbTNjVbYsa8NWD7JIsd1L+GCcc32rx8my5v5ZhROezV584ZlvDhO0tRTaoAApoNaePJaMs4iisTjvKCJFP7UkArYGPRaVZomm1mHgxXY/ASEuhnK8yAhediJGecyPr44uckBPhkvehFH9vnVdfC2GXAgRE4z4/+S9/19fxzY7Xsx5Ukk7x8k0lK2P05g/+3Dz4svytPBNFisOZhX3zkKo4KPdPlkUcbSouTrO2R1m/OZgTi+NLmLvCEhixTCLuLpuJNUaR6Sqi657l/nidMXhrCJWoYL04VnFbx4t+LObGwyShFnVEK29/SvjoPs+WdTkcUQWKR5Mw3DiaVlztKyp2giEIIsl2nhaoJ8oMhVxvGoYZmFpHgmJIYRWVkuL9w4hJD1ryZMEged0WeF86K6YIKicY3cYrtejRc1mnjBvWu5PS7S1jDJFYzxGSA7mVYgdt2Hs26ELLW8zpTgpG6rKkueSRIWiq51RwqTSFNOSnUGKNpZJadgdpFhnSSJBqwUOgXDhv5W27PcTjmY107rl2qjH9iAhTSNS4ykaTdkaPsr7pJHidNlwZZwjgEkZVlMbvZi4UUTCMStDnxXvPUZbkljRTyMaDXmqyCPJsjEXf9uyMXhgu59wvGz4uy/OGPUStvsxWRJh10njVEl6qWKQxo9JSy/fdy+TA3oTRvX71nXxdahWBPDfA7/23v/X3/yQOl4FL8J0md1hihRhms2Lbsbzvt4f7w15NK/I1woE+HI82wfbfcrWsKgdvVjx4U6fk0WNkoKDaUmpg+ffS6LHltm1tkxWDb+4O2G7n2F8S2MdBof18Le3J4x7MamUDLKIu2crrgwzKiEwzuONYdlqjhYNEjhdNSF0oaAfx6Rrmd+yNfTSmEnRIryjboKmW4mgLKmbELsGkDgkEdo1TFZhBdFLwOGIGsn1rRylBNOyRQKTSlM2JnRcTGMWtQkj3FLF/WnJRp6w2Y85WmoiAbvDFASkjaKULbPCsJEnjPOEcS/Gen/hsUdS4hC03jJbtRdqmCiL2BllYWqQ8wzSiN83mkZbTpY13juM91wZZmjnyWLJw3lFHinKNoRritZQt2Ydi9ekseCoaGmNY1E2xHFEUWu2VYISYcqRErA7TGhtyEcY51lWDZVx64S3X8sXNdBjy8PhomF3kJAniqINwzM+2R+/UqfLp73veUb1RUMzvo7i5fvUdfF1eOT/AvhPgH8UQvxq/dp/5b3/31/Dtjuew9mqYZTF7Ay+DIE8qUB5Fudx8JNlQ6REGAysZIhF14ZSh9L3Ra0xecIHmzk/3R/zxckK76G/9sROljUHs4qzomFWaprWcm0jW0vsWk4WLduD8JBJpOB3h0tu7gzYH+VkcWjgNM4TVrXhYFpy+7RgVWtiGfpHNNow7MUMkphESZatwREaRtVtqELMVczxqqY1oRJRO4+xIf4sJMRSUFuD06ANWGBRA7XF+pqtNmFnIGitZdEYtLVYGyYcFcahncc6z9myARc6Cc4Lx7LWSAmzqkUA1nukkOQxjPOUUR7RWs8gi9nqKzZGCc54NlrDwbwmieW6TF9wttI8OCuodIjHp7Ginyok4IUPicnNHqsmVGRW2jPMQ9fK8zDZIItZ1gZrw1CMe0c1Snq2eimqn2OdY3MrYVlpjLN8tDOg1Y5l7dgeJPzJzRF/f3eOxBNHEu8892cVvVgyLSXel8xLzd4oo9SOT9b3WGscj+YVnz6a82hakUSSH14Z8tHO4JnGeN2EB+DC+D6vB8+zVC3A90pG+HV5HaqV/wcQL3xjx0vzsh7Gi5JEzysUmpYtkZRcGaU8mtc8nFbsDoJm+fbxkjiSbPQShll8oS8Gw42t/mNhlEXd8q8/P+WDrT44h3Ge3x0VbPVD4rK3Lgja6CX83cmEWEVIoJdF3JuumBWGTw9mXN3o8dFOn1t4/u/fnqCtRQpJmkQoBK22LOqWvX7Gqgrx50xJtIN5o3FeEgvLrPF4By0QW4gVmNizqsODQUaQKaiaYNCnK8dBUnC6rEMbAB+KIWptww9KMIgj5mXNqgmrkMiK0DjKC6rKUBlIVNiXkJBGEdY7plWLc44sVqx8SCg77ylbg3U+KFF0g9EOGQnq1lE0nrot0AayRJAmEbEM2vXaugtZ5NG8QhvL4bLhhzs9ppXlcFbgCe1wJ6sGFUlGqSJLFH0pQXj2hikQ+r700wiEYTuJ2Oyn3D4OHRJvbvW4f1YRp4raFFgHu6PwIL19smK7H/qr3zlbcbpsmVU1vztYsjvK2RkmRE7yj/en1Nrx02ujrxSBnXfMbLWhn4VVwN2zgk/2x2z0kq/ct422z1S1hH9/f2SEX5eusvMt41U0tc9LEj1vO2erhlEec/e0wBOGAFfGcjCruL6RM8xi8nWJPITuhbOi4TfzhiwKuuBYSca90LN8nEf00xBj93giGfTHq8agRASEaTk4uLmTEwnJ2armcF6TSUltPa1xfHa8ZGeQ0k8jHk4bhlnCYF2O7l1YBcRKkmUedEwSCZwFaxyDTAKSed2g19fCA6kC7yCNoDaQ+PCLOIbYQWvheKoZ9zzWmxA3jtcyzjYU71hjyRKF9Za69URGhFh+IpmX630JMB5MC0o4Fo2mt75+/UHCyaLGeseqCS1u81iRR4KThcYLkC7E7PMoJJInZcWWSFBCcLQyGGs5lYIf7A5ZlJo8MbSLL9sb/PZgwb1ZyZVRTtVoGuNQznFmwlzRq5s5dWt5NG8YZ0Fv7gXsjzOElCSxpG0cNzZyTpcttQ5J33GWMClDwZgUEIswu3RrmHA0D/M+f3+0YtlaNp3FOyi1pZ/EPJqXF4VCT3bMjJRgWji00+xv5FRtqIk4T8Zfvm/vTUpu7fS53OPvssPyfZIRfl06Q/6W8Sqa2vMkUa0tq1pfxK0/2X/2gICzVcOiDnMutwcpZWuoGkuiBDe2BqSR5POTFW6t+Zbr5NvJosI6z62dAVVrsd6jbczJqmGcxaGXRhwSm7GCeWn5cKfHw7OKSDmyRPLJ/pBp0XK2Hj2WSsmZC7rmWApOVg3WOvqZop8l5HEUQiba4bzDWLtO5KUUraFsYNRP6CWSsjVoK0gjkBasDwZcKIKXvf5eGwuNDUbeE74AzsOiMiAhi2DReFrLWk8N2nist4yziLLRaOPRrcYKaEIemEZDCkQRCIKOe9mG4100FiVCLBwc2kiSyLMoDWUL/YR1/Nyhtcc6KEpH3dbUOsTzEwWzSvNwXiMJqprtXsKstdw+XXE0q4mj0L+9NA4vPZFS1K1j1Ro+P1yGJleRJI96jHtJeH/r2OkritZw93TJ8aJib5RTasu8MowySZZmeOdZacvWMOW0aJBS4HNBpQ2LwiBV6L7YT2I2+wmttdQ69ORpjONoXnFtIwdCL5aiMSGR7sLwjDxRLCv32Mi68/u2n4bWxDe3vjRXl1Ut3ycZ4delM+RvGa+iqT0vh/71wfyxuPXZqqG1QYb2tO2UrUYKSS+NLjTlZWPW7VNBG8ey0eBDArA1luNlzXY/4Z8fLbix2WOUhSSbd9BLIx5MSzb7CWdFy+mqAQH9LAxe2N/sUbU2tEgtLeMseLnOOuaF4eZOQqwkkYSDecMoj5DCc7KqmCwbnHMIBamKWDWWoimIYwUudAJsvcf60InR+2CYrQuGuDZg1i66J4RTLl9JB2hAOogczEx4Ta7fD5AlQXtvfZDvIcA4aM2XDwQI4RwsLBuwvsF6j3DglUQ7x7KxxCIkWctGoo0jklAZEMYSqbCt2oaHg9Ph360NJfLSO44XFVeGKQeTkoNJgUWy20/QzmHaMKc0WrfMXVbhxLNIMStahBJ8stVjo58xK1uyRHGyrDhZNCRJGAgyKws+2GrZ7if0U0kaxVwbJFjvwyi5WITBG9ZTasPd04KNXoy2HmMdJ6uGPIk4mofq20GecG0jJ4okD6YlH2z1SSPJUWvJ13NHIcwR7aWKeaW5vvF4pHZ3mHLntHhqXxfgeyUj/Lp0hvxtw3vur8vj03WcWq5HpT2Novlq3DoMZqjWI9O+6qn04oi50WgbeokbF5JjWjv2N3scLWqcE2hraZ3j85OCWArEAPJIcLys8D6jMYZRHjEtWhpt+Hgvomo1tXHsj3NqrRnlCR9s9Shby+8Pl/zwap/DeU1Ra1rp+KPrQxaN5tNH82AkvWdaWEZpsp4OFDw46aGxhlwIKuvJLAxThTWOxgUXu9EaFzaBYW0ENSgglsFjLp9oh35u1B1rQ3zp3+dvnTXgbItUkKyNhbFf/v7iT8faQ7fhhySCxoEyjl4Srb1ziFQI2aSxAmkpa5AKrAnhmcsPEkl4eFjvSNMEbywnq5YrmxmmMZxWLSelw1iH9hacIJYQxTF5oogjEfrwZDH745TNYcYgU1RG8mha8nBWsT3ISGO51vRbjhc1j+YVP9jpowQIkjDHVIZ7rNSGs2VL1RqSdXivbA0IiLXhV3cnNMbxk/0RgzS6mBh1rMNUqlEWcbKsabXlw50Bq0YjEGz3k/VK73EP+7xDpxQ8VdXyfZIRfl06Q/4WUWtLZRyNDlV41oVJNVu9mB9c6o1y/t6zVcNnx0tGWczWpYRorAS9OLrof/E0TyVWkmI95DiNJDuDlJNlzXA9czOLJZ8eLDldVPRStY6N1jjviWX40l8dZewNc9JI8f89nPLboxVJJLm+0WPZaIQPBTCn6/CL9Y7PjyvGWcz+Rsr9WcNx0bIsW7yXKAmtseSpYmeQUdmU02UdvGgHSQSV8TQGPJZISUzkGGcJzlqKRuMctP5LL9kTjHoCKBGM+teJni4MJAaiyGPXRjx6xrYEUDtwhjB+zjrKtqUKasjQYlZb4ngdx4/CKqLwj28DICaEiJwDZ0JfFS8c82UYcVcbi9aerX6MdaENQGs9W32FtjBOFYNUMe7FCASjLMJ7iIRkXhp6SUzZGM4KR9MatAve8SiPOV1pPkgiPtjKMR7un5UM1z1SVo3mnx8uLgxuL1ZU2nK8MESR5KfXR3y43adoQoVwpS03NnPunZUUjeHW9oBp0dBox+mi5tbuACHg493hRRLzyfv2Wcb5eTLC71OHw+fRGfK3iHM54SCNLsZspZEkS6KvyLjOE5njPKY1nsN5FcZ3rQc4jPL4omPhk57KeWx9qx9arZ4sG47mK2pjqY3DOEc/iRjlEWdLiZOeWnusdxS1ZlK27NQZV4YJZWsZZBH/zo/2+JvPT9kf5axaTVmbUNafRdw7M4zymPunBfemFdv9GFB464N0z8MwE3xyfZOHs5IvjpcsSsOqNcE7U2tD5oKBy6K1sWwNVevR61h02YKU67g3wYBfXDMX1CrPMr5PQxH2c74dQzDOfv36s7ZzHm4x6/BO6SFah2wUIZTTAlaH35v1tgRfPoDOvf0GSFzw8svWrKfuSCyexlisDY3Q2izIHIvGor1j2RryWFFohy9bnJPkieSLk4JIhu1XxtFPJF4ImtIyrVr2RhnSw6q1zCtNFMHpKvRGlzJUmn6402eYxuu4tmGYx+xv9VjWFiU8f3JjkyRS62ZjPnSKFKGxWj9TFzHwWltmZUtRh57rP9wbXtznn58sWdWGQRbx8e7wpTXll/m+dTh8Hp0hf4s4j48LIdeJodD+9HBR84u7Zxc3di8Ose0kkmz2Uw7nNdp4fvtowSCNLnqMP+mp1Npy+2TF0byiXeuk63XvkSxW9JKIo0UYTPz7wwW1ccyrhtYKBCH8EklFP42x1vPLe3NuZwW7w4wrowxjHQ/nJXmsSONQLHJaBo31/bMVi9oi8NyZVSQijH0bZRHXxvm6NW7D6bzGA9o5sliQZxHGWCrrwQbP1figEc+lpzLQakvtgtfd2K8a2JBihPIVXXFLMLwJIdl4Hrs+N+7P6jNx/vrlB8nln88N9vk2Lsfjz1cM5x65Jxh9sU7QKgnOe4raYN06FyDgbO2hp0oSqZC/aI2ln0Q0RtAaFySbSUQeKSKl2OjF6zBH6FiZROHRJUTourhqNI8mNdX6ATIpgpyyNY6DeZgVKgXsjlL+aH+DOycrJkXDRi8hjiTHi3q9ejMM87BC7CUxsRIXRvy8X1Aaqcdmfe4Nc65vBI/8cpvlVzHO37cOh8+jM+RvEU+TE56uGj4/XPLBdp/NXkKtHb98NOWPboxwTtDaMJLtZNngvGN3mF70GIcQQz+fk3k+t7IXR6Qx3D0rGecxUSTIVZAbRkpw96xglCdMzgp2hjnTVYv2HqsdN7bz8CAwPpTES8Hvjxd8erjg2ihllId2somSVK2lMcHbun1c0E8UKlginAjH470nixX9OGLRGiZly6o1JEogCHK32nqcA6UgXitQvAhhi1gFQ2aaYOieNhH0mzT2OffgSxsagJ1rxVftiz75dJ5MtEIw2gnBU78csz+/C+T6/2kMZQ1L/fhZJuvmZGXrkIkgUqCNxQtJKQ0eSdNa4kiwbC0/2hvy8ZUhOMG9s4IfXxuFArHSsio1w36C9p6NfoxC8vd3J8xqzeG8YpTHfHG64mTZMohDRXGjw+CKOJZc2egjBEgEu8PgZNTGst1L2F/Hsle1ueismceKqrWUbXthxJ9nfF/FOH/fOhw+j86Qv0U8refE7eMVe+PsYrJKL5X0YsUvvpjyZze3yGPFrNCA5+b2gP31zbysNJ8ezPlgPcvy04MF9ycl1zdy8s2INFJESqCt42RpubkVPtdPI9JYsTNI6KVhys5k0HA0r9ZzMjX9LKacN6zqlgcTQxyJMA1ehOrGg1nwymtjcMYzXWkWjWZetYzzIE2LpAwNnIylbAzaeM7KEAby1uGEwBPRWoO2IVkplcDjGSYSbV3wRmUo7jE83Yh/U5pLP1sP6bpSNMJf6NWfxWWv+nkoER4Own65eoAvDbiS4QFyHtOR/vGHAISViBLQGItSap1XcJQryBNHYTyRgjyNqFrHr+5N2Rtk5KlkVWsGeYih163DW0cWKZZlg7aaNAkKmDQS/NO9GT/ZH7Pdj0OP80JzdRDaHOeRYNRP6KcRB7OSRaWJI8W//Qe7F/15tgcpv7w7QcngBBgbQkRSCH55d4IQgqvjjGdpxp80zuctIUILAR4Ls3zfOhw+j+/fGb3DnIdCzrPzUoRe4+P8cRlhEgtKHb71jbEcLSrOVi0ni/piUvmq0cFD9Z7PTpZ8drzgwaTg00dz7hyvaIylFyu0cesS65oH05JHs5pIijB02Di89zw8K3g4qy5iAifLmrNVxemyYV63GOdZ1IajeY33YQL9yarh6jBnkMfEURjMa5wLU3+MZ9WaMGHdelrnWdShVzaAkxIpFJF0VNqizXl83Addu3Gse1VhdEhuPs+ICyBfJzq/CedJ10r7l4qzX5YmPo/Gh+aH8Ph5WNZhFxd06kUTVh+Xva/zn5XgQr5obJA9Fm043sZ4tIOiBu9CxamxnqNFTd0YWuP5Fx/v8P+z9yZNdqXnnd/vHc54x5wTQAHFGlglUepusa12R2thL7yxV/bS/gK98gfwF/GmF1575YUXHeEI72WFWpQoiaRI1oTClPMdz/hOXrw3EwkUUBNQJEDmPwJRAAp5kbj3vM95zvP8hztbJdOhjrx862hMYFJqjHX85nhFohRZpjmvOgJxZn+yaFn38V+6M8oZF5qzZccwTfhwf8Sf3ZrEpezmusw3LpSJivqE3jkC8TqXm3i/h7Pm6s/Ds8X3sjhDLOJHiyba5RYJPnClq4BY1HsbLQxCCFeB4jvXLC2+LS5HOp+drp/5O94U3HTkbxien2sfLaNFapnFC7mzjuN5R6EVT+YN686QKMHWIMcTl1FbZcL98xotBafzhsfLlkRqJnlcZt6f1aRasjfJuag7rA3MN7PsQCDTik9OVwwzzboxbI9zEHBRW55UNa0xZImi84EyQHABrTXOx4N2tnRIBQfTnPbcbZKDYpya84FERrVomSb4YFACkAKzmfdaY5l1kerXdHFGbFwcIYxySRIcG4r01cz6ZRBALiHRgIHme8xZLmfaAajsN/zh74mXdfeOp/x3gMxH0ZG1TznwuQQt4vuVp4rGWCoT/38XwJg4epHE97HpI4d/VnU8XijuTEvSRPDubsl53XK2MuwMU9wmRHqYJywaw998es57+wPa3vPuTkaqBOvWclZ13NqOOanGRp+WMtP0zrPuLINMPzP6GOd6Q42VHC2aOJsPkGnF1iDmyp6sWu5ulV9hW11/ar1Yd8TtDWwNsqtxy+Xf9bocDt+GpelNIX/D8cHeiL+/fwGAEIEHFw2983x8a0zvAnmi2RumnK3jzNEHzy8fLwDB9jDlbz+/IATP7iil95amNrS95W8+O+Pu3oB5ZQjeszXIGKYapRVfntXc2wQIRPacZ1yk+BBIZcZvTw29MbgAvbH0LlBkGuMTzqs4wxykEuc8zjpWrWFaJFgXGTHegxQxDPlwXLBuDU+WDW0Xy1XVhSi+4Sm3Oy5AYV67yEwRkXvdfMN8IwCNh6b//o+fP6R5/rehQyYiLnkDcdSTe0hlZOLARoEqoO4DjdksQa99vWTjUSVjQMi8all38Yu1iNmhZ6uWv7g7ZWeYsWiiRe8wVSzqnrVx5JsO+v5pxbBMsd7HhbkUTPKU3UHKo4uav/38AuMD//ruhINRwazqOV23FIniL3+0fZWvernDaY0jkVEwdcm6emer5Mm8eWHxvSzOj+cNn52uyRIV3Scv36vnZuCvw+HwbVia3hTyNxzTMuWn727z6emK+2cNeaL4q492qTtHtewpEsmys0wLTZZqThYNQgr+9HDMrDZYF9Vwj+cN3odoqdpZ5rXlrgt4H7g1KVBKMczjfLwdOxIl2R8XQOB42bHqDXmqsdaTaknVevqNZN4GEJ2F4Pn7+xeUqebedsn8/gWnixYTAkWiSJTCBwHKE3wUIi2qjk9OK4yL3bgnzqIv6/PlIvBSoOOItL5EQ5FAa76eCngdP8QM/VXxTd+3J3qvXL+ZXBZqQTzASkVXRxvjNJ+5YSXE98r7zfsWoDMe5yDPIFWKed2zQvDX/QX/5kdbfLg3YtkaOhspsONMUyaKSlmOlh3vJpqLdcd51dN0no9uD7l/VmF9DNxOpORo3vLPD5Z8sFfS9pZ53fPXn57z8a0xW4UmTyJb5tFFjdaSnWHKvO43MYJRAPR1RTKEwL3dAUoIBOKKfvt14rnvi7dhaXpTyN8CTMuU/+rdHbbKbENPFLS5Y9lYGhM9uO8djjcccs8gVUzKlCxRbA1Tfnu0ZpApxkWC94FZ1bM3SnlnZ4gJa4wLDPOooFx3DiXgvGrRMmZAuo0r4EVleDxvYj6oEgyylMZq1nVPovXmEMXQgrNlG2XzItrNzitDbzchwUlC5xyLJnKBnYsdtnHPLhfhKU3vEpc8bCFgXr98JPGHghfdfCRPWS0eqM3TP3vJfU/FRhHqowVAfjU/j5J/RWT/rG3cQSQyYERkSN3bGdD2lrqzZDomPl04z2SQkieKurf886M500FciJ8uOy6qjmGWYp1jmAuO5g2Ncfzd/SjZ3xvFufg/PZyRSMntrYI/PRxT92l0nnSaJ/OG3xyt2Btl/MW9rZe+J5cd8v4o52jRkmpBIiPdcXuQvvYu+W1Ymt4U8rcI1y+oPFF8dDjiwUVNpuXmwPlI2VNx9thZz1aesjuKMv/zVUeWSIpUM0gTFnXPJNOcVT3TQUprLpdXlmGasDNN+NWTBb89XpEnimXjmLeGdBPs3LrIZxZSUOYxvmxapgwLzeOL6Etdd57dYYZA8HgZl0SDPCFFcVH1OOfRGrr+5UV5s9cEYhHTxOXf92QAvvUwQKG4MvZ6vthrEZ9qLmfoCZEHn22UUsbFm6MxT43Bag+qhcoYVm1MIFp3FkFga5Bza1rgAljb8njZMskTch2TkD4/qxhmiiyBRCsu1pFIaV2gNoHpIN2IiRqsC3x0OOJ83fM3n18wzBQBwd99OWdaJLHDFoF/+HJ2lRH6/Bz6ut7icBJ9Y1rvCYEfZG79NsTC3RTytwjPX1BSCLbLGL91OU98f2/Iz7+cYUJAAudNzyRPkAi8h2EWl1uLziKFwEvJdJCybg3nq5beQ28Cq2A4edCQJYphmnC8bpFScG9SUBnLrDbsDTOs9SSJxIeAdY5F0xNC5IgPUo0nuiS2NpK/e28JLhA27WTXO5z9aid+HdeLuAGyjWXsHys8sYhfPtgnMu4PLhWtZuPIGDb/zZMY6TYqUqxx1LP+6inn+nDAAfN1jxaCg1HBZCtl3vZXoc3n6w6FZHeQUKYJF5VFyTjW00pQdZ5EC4aFZrZyjIqUJIkmXq0N5EpiQ3QCW7aW7TKl6R3nVY93gYNxzqzqmNeWO1uS87qPkXPD7Bk9xNGyiSZxqabMooLUblKTfgi8DbFwN4X8NeB1+Dl8m9d40QX1/v6z8uVfPVmwbHoaG3Dex45ZBIZpwr//YIdlE6Xz7lrAwUcHQ/7laIUQglnVcTjJsM7jQzQ32p9kWO8xLjBrDVoJJoVGSkGqJSLExWMqJZ0NnKxbEq1YNdGFMdcKY+NSzRg4WTaUucYFR23j7PZluC5bh3jB9uGHXUC+DbjuuY5/docAca8A8aY3yBXBC7re0hr/0vdOEZeqp6uOnWHOrVHG3e2CynjOVg0EkDqg3CYfVSoWdUcqBShBCB4tYsh0HzyNsYzylK61nDQtSSLQSvOz++fsT0uq3jKvevJEMSk0R8uWYarJ0jh/HuWSEHhGD/FwVsesWClZeittHAAAIABJREFUtYZPT5bsjQtCCDQB/r9Pz17ayb8K3vRYuDdnyPOW4pKaFD0w1Fe4rK/7NS4vqPf3hi/MNfzlowXDPOVwnKOVYphpCq2ZNT3nq45BplASbk0KJALrPOdrQ5lqdoc57+8NGGYJrQsUWjIpE05WHY6AF3Gsk2kVI87qnsNpwd6oYKfIN0pTR2cck0zTe0+iJedVz6oPWB9IpIiWqz7QmGjj+k2MvuvdxtdJ4//YcEm9vFSEXr9alIRhBpNCsb3hbS8bg/OeQQrPSm6uCYtsVGWuGsMoT9BakWuJCIKtQjMtUraHWRyzOMus7qlN/ATHZcqsNpytew5GOf/hx3t8sD+g9YFHi4aTRU/vLBd1zBTVMtJpl40hTaLhlw+BaZ5cNSqXeohUS+a12fidZ2Rp3OkoqVg1BinExh8o4bzu30iu9w+Jm478FfE6qEnf5TW+rnM/X3cED2dVx+N5jQ+xc86UZFpkrNuosLw1zlm1jnu78YZwuo7sgeNFy3aZMW8M1noqF0gEPJk3bA1SyjRByxjSO1v3ZNrzP/3FO5ysW+6frFn2Ftv1pFojEAgR1ZvWxVCIVGviP1Eyr1q8i2yKr8N12f2byDr5feLrBEdSbOx8vWNZGZre4FwUVWVJnKz7Pu4ZLimQDhAeehd4OKvZOV7yweGIvVEcbVzUhnazAB2linXnUQpmlaX3Mah6d5DwZNFRd5bPjpZIKThetOxuwsElknEu8QR+e7LmcJwTgudo3jEu442i2RT3rTLlvOo43NAL162hd57OenyASaHZHw14OGsYZknMGQ0Bu4mGe5PogT80bgr5K+J1UJO+7Wtcdu4hRFbJ8bzDeM9P7kx4b3cYOy4CT+ZtFOeo2DX7EPirD/dQQjCvzSbRXaCVRAhBCLA/znlwUbNoDBdVy6cna85WLdsbL40vzyu0VOyNU3aHOZNByjhTOAJ1Z/EC7owz5lUXXfesJVEC5yEgSFONFBLrN4ESG8bJt+mubwr4d4MiSvZ9iJ05wpImiiAc1sG698+IqBwbGiPxM+ls9HXpnGdRG2QIaCkQITDMNcZ6Hi1axpnmzrSk6hzOBz45XpEpyeE059FFVGfWxuEJ5Fpwa2vA+bqjyBKWTc/drSF/fmfCo1nNedWzO8z47cmSznp+em8LJeBi1bFqLcYHTleRAaNlNFz77LQiTySd8eyPMxIk1kc2yfPn5w/dzvamkL8iXgc16du+xvm6IwT44rzi87OKpjf4Tbp7+0H0k060ZHeUcbFusV4gN8q3f360iJ15mbI3ytkbZVgfOF42LBu7caJz/PzhDIlEE9BK8vgyJDdVOB+Vemerjv1xCgSOZg3L1lJ1lsfzDmMcCxeoehP9VwJkSmwEK4Z1E0g3jgM3I5IfBlfly8claKoCXkq8dygFOkQnR08M23DEhakAxIaLrmWcR9+eDjhdR3bTna2CRd0z7+K+I4jN14gY8pFIgVKCs1VPmSlGRYKUkhA8aZJwvjakKtpCDNKUUak5WnScrTrmtWGSJ7y7MyCEwEVlWLWWD/aHzGvDZ6drykRfhVBoKaLd87pje5TxeNawP8kRRK+W6+fnbVBmvipuZuSviNfh5/BtX2PZWv7laMnffXHG8aIhkRv5dGv55GjJedUzW3cIH0gTSdUZ5o1hUXWsasMg1xSJ5vPTdaT+ec8XZxWLxvDJ0YrTTZzbsNSc1pbeO7SMeZIBSZpKJIKqN9w/r8nTBB88oyx2aWd1DKZARL7yvHH0xjFvDKvO0Jho3GReYDV7g9cPu/nROahaw6qHto+8c7cx2UpU9HeX4umNtcy4Srs/mtXMq571hjVS27j0ttbyeFajdLwGnZAICVJKjIfdYU5tLN47egePZxXLpmNnoHk0azhaNjRtz5N5zcmqJ9GSWdWz7l10+hykDHLN9jDn9laBdfGaztNoZyuVYFIkvHcw4s5WSWcdF1XPwTiOcK6fn+ujSyHigv5y9PKHgpuO/BXxOqhJL3qNy1CIy0fBQaaZVx3HyxbnBVrCk2VLnkQu72nVk7SG3UHGurPYFqZlwqrucTpBSRhlKZMyIRD48rxiuHE3THVgb5yx6g0nixa5caZzXtJ7RwgBJQV1a1h4h5SCnTLhxwdDHs+bmCDvA7mUSKXIETTaUrWBhYNJFjs3CaRZFPLcFPLfDVLYJCrF97zZ0BQzFbnmMQ/0KYUxTcBvOt5xltI6x5NVz/m6xQUYFzFQwjjHuupYNj1tH5OL8kQhgqO2jtokKCHJM81FZcgTjZJw/7zFek8hFf/wYMl0kLI7yigTRW8Dx4uarTxBKoHZxM7VvaXMYnKV2mR8FomK5mACbk0L9kcZT+YNfmPpe/0Mvg3KzFfFW1PI3+QZ1+uImrr+Gi96FPzl4wWTjdVoZ+NMUgpo+8BorDmaN3x4MCQIOFm2lKmizDQX654PD4ZMy4TZZnxirGfV9ixbw+EkpzWBg0m+8Y6OwctNb2isI2zEIzZ4WuuiqtRaEp2x3KTDHC9aVq0h0TG4edH2dCZcLSqbDsLmkb5ubor47xI9zwZXQHz/O/f09/WmqJtNeEWqA0WmSBSs6uhKWbWwPUyjz7xxdCYwyCUni3ZzDVl6a+mtZzrIOFm1ZEpxdzsnoKnbOFZxPvDffrzHg1nD8bzBh0C7CWLeGSa0veV41TItU87XLevOXQWQfHa64r3dEWUWPcwD4coe9+tk/c+PLlsTbxBuM09/XbXk6876D12/3opC/rbOuL7v9/08i8WHGMd2UfVslQmfnnpaExjlCoRg2VjWneFo3vD+gSYQmNUd694xLhK2h1FafbruCEiMdYzLFC0Et6cFTe95NKvRSjBvLM5ZlBQ0naXeBDasW0uqYFRoRBAsG8fPH8zJM0XXW05WHau6Y1ikWOfZBPoAcYaqiUEQf6xqzN8nXhQSbYGhjp+NtRBk7MoRsDtK8UHQOMfOqGB/WvJkVtOaaHeslSTRglGSYR3cmpQoKUgTjTWORCs6a0mlZNk6xrniz+6MeTRrCSFmIi1rx6q1uBDojCPXinVrCcEzyFLWnaHqXezEBwmLznK87smShg/3h1jv2RvlV4rmr1NaXhfSOe95OKsBwTtbBT7AZycr8jSWwlfRgbzsrAM/eP16K2bkb+uM6/t+352NRlfw1HM50xIC3Noq2BnlHIwSCIKqtWRKsDtIo693YxnkmmGRAZFl8HjW8MsnCzItKbTGBbg9KcgTzYOLGK58uu7onWeQKSZlhmOT0JNEabfYeGY7F8MnYtBuw68ezbEOtouUVKsoRuqe5mtmgEoAcbPcfNNgfRyt9D7SDidDhVDQ9YF13aOIBftgnLEzTFEbrksiYd06Hs0aehevz1GWEHxgf5Jzb6fkxwdjJmXKjw+G/DcfH/DB/gQpwQTPw4uGcRGzY+s+etSHEKiNpQuB7YEmVZKf3p2yPcw4qy2JUny0PyRRklGe8JPbE8pUXfn2f5twZrmh0maJ4u52SZFqfAhc1Ibzdfe9dSDw9Wf9d1G/3oqO/G2dcX3f7/v6o+Cs6kmVYjpIOVvF9ni7SDmxDhE8H+4PeXdnwCenK85WLfcvKjIZD+Ci6nEu8G9/tMXPv1xwtorZnj8+GLI1yChSw2+OVngXGCSKJ7Oaw1FOnsULWorAqo5dktaS3gZCiI6JF3WHRFBmmiBiqMCy6zk9c1ieFaso993yMp9Xc74Imm8WEt3g69H7aK5liOZaonFoAYvW0Ftwi5rdQYaUgsNJQd17LJ7ORbtcEeJs/MmsYd1asjTqBvZGOVkiOVn2rBvD8bJht8zpjKfuPFtl4J3tAR6oeot1cWx3Z6vk9jTn3u6IJ/OGxnoyHYuulgJjI4c81Yqqs9+JI35ZzJ/6tMSb0rzuKVOF9WFTZL+fRe03nfUfun69FYX8bXAfexG+7/d9/VGws9FSViA4nGb86tGKpjdoIfjg1ojtMqVINVVrKLRi2TqerBuMdYzy2H0/Oo9Zi08WDdBTG8/AeXKtubdTsuwM02FKMdd8OC0w3vOLhwt8CGSZwtv42Nz1DU7E0UwI8RB6PEfzmNIybw1KxkSb60X2ehH/Nv7b36Zzvynirw4PtOHpTbc30AA7paRQgTRTrHrDpE/obSDXkrOqj5+fCEghaTuHx7No+ugNPs4RLDmclhSJZF5bnK84+CDn3Z2Sf3w0x4bowTNMNO9ul3gEh5OMPzmcMCr0Jn82LuT3BjnTYbox4LJsD6Jb4oui3a7jZTPp589kZz1aCFL14mi5b4tvOus/dP16Kwr52+A+9iJ8m+/7ZRfcJYvF+4CTga0y4TfHK/ZGOdvDlNNVx8myo2otg1zx7s6Inz+Y0bvYGVgtaZ0js5b784rDUUHwnvlGvly1lskgIRUwzhL+5HCMdZ6H5w1bw4QiERiv2B0kZFrw5byNxkwygIq2oa0wtB0c2ZqqdzT9U2/w5wv2ZZf9Tcfj2xT6G7xeXH4ul+/7svGMCkFnA6vW8qujBdtlyqI1NMYhgFGaUJkoLksUZFmCllFwVnWWYa4YZCmttXQ+cDRv2RnmvLczxPlA23t2xhm3JhOMDWxt2CuPZ9E1c3ucY51n1vax6OfJlUHW89FuL7Kq+PR0HYVqISCFYN4YPtgbfuVMCgG1sdzdHlx9/fcpst901n/o+vVmt7QbvCjL8k1fdMI3f99f57Fy+bU/fXf76hD5EHDBc7Ls2R/nfHw4ItWSZW03wQ2CzniKRFMkCoFESIWxAaUEB9OCMkuoO0vvHOvGsOwcs8Ywrw0f3xoxHaQsasu4SFFSYAMkUqMFjAtNusn5lJtZ37LxnK4d9eUWc7PYvKQbbn7rW+OmiP9u8aIT1G+KZZlqgnNcrHtWnYk02ETjvOd41bHq4uhjVKSM85Qi02SJYJAqjpc9Z+uOW5OCVEo+P11jvGeQx0jASZEwTBWrxuK8Z153/OLxgt4YxkWClIJ/c2+L93YHkW3VO5aV5WjR8k+PFnxxVvFksVE5PzdrfjxvmFUdWkrKVKOljLF28+YrZ3KnTNkaRO75q+R6ft1Z/13Ur7eiI4c3333sZfi67/vbeqwI4MF5TdUZQhAcTDIGqSaEwLhISZTlZNVyMCmo+hhmm2tBpwU2eAYybvazRJFIx0Xds24NF7Xh/d0B7+0NWTbx4H18OOLhrOI3x4JCS5QI1MZgbUAjcMC6MWgdHfUuPT1g09WFp0X8Mt3nclb+spHJt5mJ3+CHwYtunJ64CLUOlIr+JcvGU6Sb6Lw+Lr0zDdY5lg2IICkzxbwxDCaa3UHGMNecV4adMqF1Pj5d+oAPnsfz+qrI7Y8yEilZNj2p0igpOBjnQOSLv7NdYp3n51/OAPjxwZDWOn7+YMHOILkykLvE8aKhTDTJ5lwlWlAGzfGi4f294VfO5OVT8ata1H7dWf+h69dbU8j/EPFNC5LrlKb396JPxX/5YobxnmmZojcBD39+Z5uffTGn6i3vbpe01tHZGIzcdpYny46V8ewPUgICLQRPlh3WWi7qhHzZsKjiiGbVWo4WDdMyoTWOdeuojWHd9Ug2xkpB4PG0nSNJYkJ9bUCGp9mSlwnwYpM3+XV+KZdF/Kag/27xdQvj2kBuLV0fgyp6a3BB0RtHnsRZugPwEKxj5hxBZBRZpNdpLZiUCedVz4OLmmmh+cXRklujjD9/Z8q6s3x5XvPh/pitQcpWmZImNeMiIVWSPFHcP694Mm+Y1YYiVewOU3oLn5/VfLA/YlpoVq3jy/OaP7k1uSq+QoivPAZ2znG+7mPO57UR5pusT/kuuCnkrwHf92L4pgXJ+brDbx4dLyrD52c141zTGcuqiWG4Hx2OOF/1pFoQUHERKQXbA8WjWUPbW25NCuzGSlTwdLHz/t6Qunc8uqgxDrTSnC49v3qyoDHRMqCzlnlt8C6QJCm5hrpzsUCLGCG2NpH18PzFFIghB9/W9OqmiP9u8aIirrjmbe4ce4OciyogCRhnr4REuQIhJcnGxFxpiXVQpIpER4vZuncoJEUWbRuEi9J/56HtHXmiCXh6F+2Od4cZp6s2ahh6y2+Pl5wsu3hDWHdUvce5SIxtjSXJokXEsEieeYrdH2U8XrQIERWqVW95cNFwZ5o/w+O+VE+/bfqUF+GmkL8iXkWs9E0LkmVrWdQdmdZ01qEVzCqD8XAwLsgSwaNZE+OyQmBvlHF3p+R81fFwVjPINIeTjNvTkl88WnK86hjnEkegTARnlcEFT5kmdMbyswcV3gXOVh0ueDxE7xYhcQFWXU+JwgWP8IIyjaES+BhWkCTgbJyxXi8IL4oju8GbB83TLl0CwzxByhgaYlyg7iNlMQG8hnEi2BomSCS98xjvcT6Qa82qsQyzhOkgYbcsaV18VLPeU3U2FnwlqHrP9iA2FlGfkJAnkvvnFb3xjLKEaZHgPCw2zp1bZUrVR8GRlJK6s3x5Xl01UNvDjC/Pa76sKpSIId+7g4R3tgfPUAw/PV2xPyq+cbT5NnTtN4X8FfEqfuTf5NNS9wYponfz8bJjkCVkW5reeeaNoe8tgzLl3s4ghje0hnGZ8B8+3OP+ecXJvEFpSaYV40JzdyvHucCTVctumWJ9YLXxO5VSslj3MdmnM6waQ5lFSXVr4oJGCDDOIYMg+ECWJyyqGMcliDmaWQKljBmczabFvum03w5cmmwVRBOtprOIIKKvifUkMv6+lJBKGBSxfKRasjWIo76Luqfubbyxp3FYNkj1VQpQZyKNcN07hI+smPd2o+NhszkDf3Z7yt/fv+BPbo359Kyi30j0V7XiZNnxo70BqZTUxrEziGIl7+Fn9y+uREK744yJTaiN48m84c72s0laiRJcrHuUEPSbp+BpmZJp+RX727dBVX5TyF8RrypW+rolSJloFtZwPG9prWXZ9CRSsD8pqDpLVqbcnpYIIeiN47Pjis9O1/ARVJ3j0aIh+MDWxtS/7R1n655RoXEh0PSWqrHUTaC3URCRSEhVjNiyzkf/DQ+pBivjvBsVcBZyAomW+ODRKhbyREHVQXetet8U8rcHAggClIYyk1jnkVLggcEmcHmU66sMTSUStIpPbGfLjlXXI4TkzqSgbT3TnYRUCu7tlDw4qxEy7m22hhlt7/hwf8CyNptOXvKT23HWfamAfH9vwOen1UY1mqGUoDMOr+HWuGBvkl2FjmdKcbrqmBQpVWc5nBTcTtSGXWWZlk+ZKKvW0vSO3gaKjSDoaBHdP4tr5/l1BMf8LvBa6IdCiP9eCPFrIcQnQoj/7XW85tuCyzn3dbwusv+4SBjlmpNlS7pxJFRS8GRe8XheczRvUQIezRoWjWV3nJEoyb88WfKzL895PKt5vGg5WjQ8mFWE4EnUU1KgVpJhqqiNveq2e+evnOoEgiKVpAlILZEeFIJUKDIt6PvIRNASBkW0PZ23zxbxG7wdkMRxmGLjvxJg1Tic91ysDcaCMTZayErBqEwQQlBmimVjeHC+5njZ0vUOSRSLxbkbnFYmBqKIwKNZQ5Zqhpnm49tjtoYJW8OUcaH56bvbTMuYNjrJNV+e18zWhu1BGn9fSN7bG/JXH+5xOMqZDiLNNtOSYRZdGaveUaSKVClmVeTE7m3Cm6/bRJ+uWt7fHxIIWLcJzoBo5XyNenjdLuMSiRJXQdBvCl652gghFPC/A/8D8BPgfxFC/ORVX/dtwevwI/+61142hoNJzr2dAXuj6FC4auPfkSWKL84rFnXMP1RK8t7uCOsCwQsmg4z9ccbZuud03eMR3Jnm5FphCUglcCGwlaXsjTISrVg2FiE8RRbpjTiPEkQzDgFlljAepHSbkUtnA1UH50tH/x0Wmzd4c6CIUv0sgTLZfIYeEiXJks34JAEIaBEIAZwL7JcZ22XGunesOov1HkcctRjnaDvHed3T9IbfPFmzbEws8B6+OFvz66Mlj+YNu4OUrfJZp0AvBONcoRQY52l6yyTT/OTWhMNJweFWgRCCaZkihMCFaOi1ag2PFw0uxCVqaxynqw4pBCeryICRArbKlN1hxuGkQAhojCNRgiLTnK87Pjtdx/1VCD9Yo/Y68TpGK/818EkI4TMAIcT/CfyPwC9fw2u/8XgdfuRf99rTQYYUcP+85smy4d3dAWWqOFt3ZIniZNGw7lw00xpkpImk7i1FKlFCsjfOyRIVY7MqQ296jldN9IrWgjzTEAI+QKYVF33Hqu9pTUBJ0FqQ2JgW5Lxntu45W8YRi1QxSuyyg7u83G+Wm28fQoDWcLXvCAJ678E4Ug1aKpxznFU9u+MMFwLbo4KzdUvbW3oLSkHnAuvOUmiFTQJnK8PhOI1ccB9Yt5bHy4bb4xzvAova8I+P5vz57SmPZjWd9czqjnGe8sHBmFnV0zvP2bplmqeMihgvtT+K0YQny5bOOH59tAJgd5iybi1Va9kbJDy4cEAc7Sgpn2myjAvkieLWNFrhrhrDyarFD7KreXhj481gVKRvtKr8dRTyO8CDa79+CPz75/+QEOI/Av8R4N69e6/hr31z8EOS/cd5fAwVUtLaOBrxwP4wZ9b0tC6WzFxL0kRezQsFglGR8Hhe8+Cs4sG8QYjoabE7yjhddDypDXd3BkzyhC/OK4x1yA2tbJAK8lRSb2heQgaU9ahk48nhQDvwDq7r6gRxEdb5m9n424KE+Ble/7z6AK6FRDjGZQxtTtJIfR2lGq0kp1XL2apFCI8QcZeiJUgZedx+Q1lcNILOVsyaDiXgeBk4GOdIBLmWHC9b9gZtlOGniqO559y23JqWbA1SjhYNR/OGI1qUFhyOC/JE8c5Wwf2NwlMAh9OcTCkWTY8lcFoZ7u6U7I/yZxqr83XHINP86vGCEKDMFMMs4XTVMt5QGXvnSVUMdFFSXKkyX2ej9jrxOgr5ixTYXznDIYT/BPwngL/8y7+8OePfEpcUReM8tyc51nPVtWRaMkg1RgbOVj2DLME6j9aCdedZXKw5nrd8edGwrFsOJyXLxmwoWulVss/RoibXiiKVICW5MqAk1jqUFFTGgoUs0VjrUcqTh3hwnzfiDESK2g3efFw+ObWbnyebX1/yyz3xcK8bKLPYvWol+PK8wW+CRkLgSt0rRfzhjaMHqt4xyHQcwZlA1TkyKfAi8KvHC6wPDFJFoSX93vhqoTjINZ3xHC8aOuuZ1zGUAgTHi45VE2X81gYa69gaZIzLwMmyp+oMWaK4NcpIU83drfLK6RDifHtWG1rj2B3lrNvoe1738Vpft4ZM66sEovN1y6TMeH9v+Dv7XL4PXkchfwjcvfbrd4DHr+F1/6hxnbsqACUEUkmstSgB3gfOqp7eeg6mOfOq52efnxGkwG644MY68kxRZpLearwInK+7q7mgRHA0rzlfdQQRmBQpWkn2Jzmz2lI5g3GeunEo4ihFbsIdnY+y+xfhpo6/HbhccFqg1HFM1jsIG9GPIVINvYeqD7jQ4Vx8IlMaNvd3NJuoOBd/2MTzo3HOO1sDBrlm2TrWbU/wnovWI2Xsit/ZLpESGuf59GzFj/YGZImis46Hs4ZlExedaaLicpWYQPXPJ0vGRcb+KCUIwfGiZWuQkClJPsxwLkRnzhDZKePNOAYu+fCG4YY/fvn/euv5xeM522X2jLTfOEndv+xKf3PwOib2fwv8WAjxnhAiBf5n4P9+Da/7R4t53fP39y+4f1axbHp8iCOWg3HOx4djBDCrOha14Z3tklGm0VJQu4BEcGurIFHQ2EBrAuM85d2dIVpKrA98eVZxvGypOkvdW5I0cs0TqVh3llVn6ayhsx67WfR4cRnbFjA3lfoPApJYvC9NzswmOKTYhDELoHUxCk4QC7wnhjMrFX+uiVJ94yHPoEhgoKN//q1JTplq1l2MFXQhkChBaz3IgPeeMkvItQICvzlZcbRoSZTi1iQnAI/nNT543tkq2R1lPFnUGB9IlWR3nDOvO4aZ5mjRIkRcQoYQ6Jzn/f0hp6v2K0SEMtEvZKIoIWiM5dG85sFFxaN5TWMsZfLms7Rf+TsMIVghxP8K/D/EG/z/EUL4xSt/Z3+kaI3jl48XaCmv+K2PFw1SCprW4IBVZwgB3tkqKDPNou5peof1MWl8lCXsjnJq2yLwBAKTMo5SBIGHFy1KQdM7EIJUSLrgCVKwP8x5cF5RpJpUixhmqxLWnaFuY/K6Dc92AJf9juepCdNIx+6uCzfLzzcVnnhgtYKVvVbQbfwcUxEZhEJEvxWpBWmIW20t402AAGozKLUOtgax4ci14njV0vRRkCOAaVEiFRRWxSdCEQMrMi2YrXuezBtuTwoI8cnvJ3fGnC2jaAcizba1nlGm2RmnDLOEQZpQdQYtJFoJqi6yq+5MB+wMo37i+fn2+bp7oTXGKNPUxm+ysQICgfO8cQyVF+G13GpCCP8Z+M+v47X+2HG+7ghEzwohBD7EGaEgYJznna0BRaI4r3oQAWMdq9ZgQ2CaJxSbJUwAtIgzxLYXrDaPvlppJmVCmQoa6xmlGucDwfpoIZqleBHIU0XbR4HPu/sDfnuyoDN248ERDzYbKX6RxEPswhV1OP5cbIy0fj9v5Q2+AZYYiJ3Kp3YKEPceims3YQNlCjLEQG0bAAO5jteUBzIFozxhOswY5ym99TxZtkyK5GqA3trAVqpYbvx/DiY5B+McYx1d5kmlxLhojXsZqtz1ngezmtZEJkoiBUrKqwBx6x2L1qCVQArB7WlGkSqKJLJOxkXyFSLCy6wxJmWKrTq20hSt4oiy6k28kN9wvPm3mj8ydNZTbhYtAIvGUKaKWWMYZAllphkXKbcmBVoqehu4PSl4Z1qSpXJzA4Ai0+wOczKpYkSXg1uTjJ/em/LjgxHDPGOrSPHAqEjIkoRRmqLExl86S7i3UzIpUn57UvFoZmkdV8X7uu/4ZQHQIhb1TMcZeu9vivibjiKDrXFKmcWbtoQrl0uIn/Ugj9RECxCi+ldtqKdKwv4wZXcUHQzfnRa4EPj9we7JAAAgAElEQVTktEKLuNvZHsYRSyqh6T1aRaVllkh6YzlbdXTGkSWS43lL7+LfnieK29MCKeDzk4pPT9c4Fxhm8Rnw05M1Skaa7U6Zc7xomdc9xsYl68v0HHkS80JPVg2/PlpysmrYGWZkieKdrfKKVy4EvPOG0Qxfhjd/+PNHhkxLhnnCRRX5IJ1x0WzIenaGUfWmpWB/nDHKNQ9nDYgYCbc7iP9/1VrGiSQdZXg8qVLsj3N2hhk7gwzj4uPn9iDlHx/OaFpLsVGr1WvDjw+G9L2nt2Gj7GuxPB2hxG4//tyxmafqWACsj6nsjpsi/jag7sD7nrqPn+Olb7wmfp5awiBLcaGHAEmi0BKsi2Ele1lCkUh6F9geZigtaNeOQRZvCcvWcTjJyRPBujGkSfQs6Z1ntu4IIS5K390dsTeK7oePLlra3nN7WrBqe4z1fHx7jASeLFtmdUdr1CYsXPOjnRKpJEpA3Vtaq1ECbr+EJnhJJNgfFdyZxo78fN1FUoF6yiuHuARN3vyG/KaQ/z7xIle1nWFGO6vZHmSsW0NvPT7AR4djrAuctHFJKTYd8cEkZ2eQcmdaUnUW4zyfnKxI0oSPdgYUyQ7jjS+0dYFJoZkUCasu0hB/fDDmdNUihWSYxzCJ2+P4WmWm+H9/cRQPMLFjS3X0UqldDI3INAzSaFtqNzxiFHQ3UT9vPCTRZtj2m1m5jAvNS/qhJY5PrLMkUjIpNR/ujVk0PduDSN2DqPSMS8yAMR4pJbe3Sgqd4ILHOodXCUop8kTz8a0xZaIYpJpZa/jRTsm0iGyRLFGcrTpmdc8gj+lW28OMVEXq451pyem65fFFw7++O41xhUqRKEmYBBrjuDWJXfzLuN4v808xLi5D4e2KlISbQv57w9e5ql0uZJQU/Ksype3jbPrXTxakOvqgtMZT+8Cf3hrFBHTh2dIpO8OM/+4nh1eZhceLhto6ci0pN8G2w0Jz4HJAsHMnY5DusGh6Brnmk5OKznr2xxmnq45526MkDDZPqOvuaaedadgaphjvoheHi4wGu6GvBZ7S227w5uHyc7wUcTkXRyWS2J3XLrpYCvwmL1Mwr3t2Rzl7wxTvA2kaO+FVYzDeMG/g9jSns4F5Yxilmlnbc1713N0q+HfvbTEt4xz7dNXx8KJmtm65tzOks4GmN7TWxoWnACkkB+OMJ/OGxnq8j2ZuVW9YtIaH84bDScbBuEBuvPa/ybTuZUZ3xvGDqbR/aNwU8u+B1+FP/E2uas/7If/i8ZytYbShje5shkEq+eR4zSCLnY9EMKt6tgcpIsTMtUmZcLRoWNQwyjS5Vigp2TnIyHVcmlrr2RvlNNbz4f6Qf3m84JOTirNlzSjVVL1FCYn1nkxDtanM0cnOsO4D1m2cD9tYwC+LhCN281/HxL1JBvr94DKST7PpvEP8DI2DxjzdgQgRM2WLRHLeRMm8FHH5XgpFlkoWtUEguKg6dgYJCskgVawaQyoVmRLsj4qrIv7roxW9tQTv+O1JzafHaw63ivjnE8UoV5wue07WDXebklSrKz/zRxcxNEIGT6YER/PIjtkfZtzbHX7FC+X58wovT7V/WyMlbwr5d8Tr8if+Nva31y/A3nje3x1QpPEjezJv+PK84rzqGRUJqVS01lMbx8/vzyhzTQBGeTQVmteGx/OarUGKRHDaG3KteW+3JNPRQe6L84p15/hgf8SnZ2vO1pKtQUbnPMEHnIsEhMssTiniTDHVFusi5zjZCEguAwo2BIevFPPrMWM3Rfz3g8tIvjKBLFHkEsxmyTfN49il7+JnniqJQDLNFGkimVc9RaporePT04pJoRlnikXd89lZxXu7AxSBvUnO3e2C25OSRdvTGsdF1VF1Nj4lZhrnWkwQfHFaxZzP2rJsJPujgg/3RvyXLy7YGWXsjzKqziAE/OTWlEGhGQR4OKupOku6VSKFeGYc8qLz2vaWRgjGefLWjVBehptC/h3xuvyJvynm7fkLUGvJw1nN3e0BeaLYGqT8zWdnDPMoBnIhHrjtMuEfH8z58cEoHlQfeHRRsz1IWHeOnUG8iRjnOVpUGOvJE8m9nZLgAw8vKh4vWvCBD/dKPj1tmBaO01Ub/71RuwEiSvadD5SZxhiL9ZAnceHpNtvOy2ItgGLztTdsljcHkvhZJUnMci20IgjBVpkQPJyuY/cbEGSpYphokiRaxM6a9oq2VHXQKsmP9kbR977qGaaaw0IzylKmg5SdQcoXZ7H5mBaa8SDjvDLsj3KWTc8vn1R8sD+KNxatWHWW3WFGmsQ0qlndI4RgXGhGhSIA72yX7I5SjhbtVQDK9abqRed1VKTRV+gN90/5Lrgp5N8RrxokcYlvinl7/gK87va2N8o4XV9SthTL1jLMNZNS88tHCz45WeN8YHuQYkJcAD2aW7bLjAezhkIrzuuOtnO0neHezoC//uSMdW94ZzqIdK+zml8frahaR5Ko6OncW1wA610cnziH8QElNGUGwrDxO48mSrkgsiGIFqlSyujd0jjqmzb8jYAkLrAzpTgcF7TOkW9yNZedIdUJg0wxzBSjXLNoLKd1R6EVuZasWk+iY+pPgcI5z8E04/FFQ64V24OMd3djp1z3lvf2hmRJtJnNkuiH3/YWIQS3pgUH45zzdUdjLHXn+KdHC3aHGR8fTLAhkGrJ0aLhfNVzuGGXKCE5GOfcnhZfaaZePg8Xb3UH/jxueOTfEa8rSOJyFnfZFTzfSTxvaH/p9tb0ji/OKgjw03tbjHMd01G05Mms5ZOTFXe3imhudFGxqnuGueZo2bE3ztBK8E9PFhzNWzrnkDqKML68qHlw1vD56YpPT9c8uKi4WPdkqUCIQJFplNSM84QiiZ15bwNKQG8dnY3FWggoEk0iBVqr6HGdCbJEIWWkU7rNP+vt7X/+cCCImoNBqkm0RiI5WfXUfY8EDicpQgRcCNHh0AUWVc/5uuWi6ln3PevO0fXR7jJPJKVOmBSavWlGlipWreV40XG67Eik4N/9aAutJW1nWbd9XFw2lnvbJXVvWTYG52CQKZZNz+4wZ9H2SATjXJNKyazpKFJJbxxVbygz/ULO+A8Z/PIm4aYj/474pk76Et9mIfp1i5UXjV6UlAxydRUYu6hjYMTJquXzszWDTDEtM25tlaRKsuoc7aZr/9HuEB8CF5UhlbH78UHgnIsLT+/ZGyX86mhFkWnyVDIdpNSd4729EikFW6VnVnXoUcGis1jjsNeM94OHIDf+tSGgCexMCk7XLXUbqSz1tUH5ZUDzTXP++4Ei6gGCC5xXHTYEvA/MawOlJlVRmDbIEhIpOF/1OO/RUlJ1BiUlSSLxAYKIe5QsUQQCf3pnivOeo0WDkoLOePCex8uWw2lOcJ6TtaHqLGysJbQQBC3ZHWVIJRBC8CcHY0Z5gvGeSanxAW5Nc/bHOQJBZx23pyXbg/SF5+3bnte3HTeF/Dvi2wRJvI6F6PMX4Lq1nK5a1r1DIhhkmlltuL1VMM41vzleQhB8uD+kNXG0sTdKaTqLVoo/vTVi0Rj2BylaRPpiriWOmPc5yhMa49gfF4wyzeNlzf4oxw0CO8OMVevQytF7T5YodpSi7gzz2jDIFGWi2BpmdNbiPFSdIYTAqjM0fcA4wD1VDAL0r/FzucF3gyR24zbA2jhSL8gyxyTRTErForGMCphqzbs7JSHA/bOGddfTh2h6FU3HA1miSZUgANNByk/vbrFqLF+cr9nKE6QQ0cVQS2Zrw//1dw/5YH/I+/spLkTf8kmuWW30Ee/vDtBKIYhe4XVr2S5S3t0ZPFOI80TRGsfjWc0/fDljkGn2Rhk+8Mx5e1sphd8FN4X8e+CbKEqvYyF6/QKcVT2zumdcJKxaG9klreXd3TJSD4nslEBACsG4SGiNQwmBsYH9ccI7WyXWVpSZZlgkPLioCMCyMSzrHuvhbN2yVabsDBJGWcpF1REI/PrJijKRNJ1lkOorM34hYic1KVLKJCalj0vNw4ua3jrqzlF1MVFdy7gEvXTLu+nCf78QRIYRGy9xJSAREqk1U52gRbzNGgezxjHIFK1zWBcotMIgsCHQmrg32RpnfHQ45sP9EYlWDKP3FbPGsDvOyRLJrDKkCWgtCcC6i+HLq86RqviUeLbq+OS44qPDEbcmOQeTgt56lm3/lUJ82TBdbM6GQHC8bDmcFKRaXZ23t5VS+F1wU8h/ALyuhejTC7BGK8lF1TEuEpwPnNueT45WjAcpmZK8vz/kyazh8bzmX92ZkGmBBO5MSu7ulPgAo1Lzb8fbm4TxnL+/P+P/Z+9NeiS7sjy/3x3efZNNPkd4TGSQzLEyu6q7qiGVJKgBaSEI0k57QVo09A2ERn8CQVuteq+FltqqJQiQFupWTanOqsqJcwQ9fAh3c5veeAct7nMPZzDICCaZyUoyDkAw3Oy52TPz984995z/cLlpWbeWh3sjemfZtJa/+PCCcarJTayg6q5HqpRRadif5HS943TVsmh6mtYRgqBJHIXRLJuO9882JEpiEkXdW4QfDAcYqsCv64t+Hb91KIAAo0zifRTDMlqTSHi6afEugAxIEopEoCEaGDuHQNB4S9t5JDDJFdNRhtSKSWbYHRmOLhv2J1mUd/Dw7skSpSSXG0sIjmWVkGcJVe8IwfPzx2ukiEVPniQIAaeLhqPLmge7I358OPtMFX1VMIUAiZbXBhLzTcetafal77c/5HidyH8H8TJo4ZeN1nrWTXRJSbQk0ZJ1Z/ngbEOWat7cHZFqhZKCREmWjWVvnPHO/vhTehNNn/PJvCLVirNVQyDgga0yQ0nBtEjpXIOwgU3TIURK5+GdWxMCgu1cI5Vkbh3zqkMLgVawaBrmmyj+KQVUraMsNFIopoWh7iyLyiNkZIM2L+ipJMPv+vBi3PnrePV4FYJVIOLEAx6lJFpJ5lXDpo3GDp21aKloMocXksuqjyzdwQKtG7z8dDK4VDnHwSRFiMDJMpod7xQpq8bS9JbzVc841xSJAJHw/tM1W0XCZdUhhaQPnnGq2LSOVWMpMsmdWUEiIzb9RXFVMKU66uwnSqCVoO7dt3Kg+UXxOpH/DuLrHrCkWlL1jkmWDD8r7m0XLKueUaoxKiJPBIJ/dH+GD3yuNZUAjuYVj86jnsv3b0VK83snKxIdIWadBWsd0zwh1YrDacHFpmNeWQ63CpTs2MoNqZE8vtiwbjytfZZ2ew9tZ1HSXzscXcnZ2hsA8ps65R5IBqswBs2W1wYWrxZmyNwdsdIOfH4iT0VcTDsblQ+NStAKbO/pvGNV92RGYr0ckqLlYtWyrDu0koxyw6buSY0i+IhkSRPFT+/O0EJgfaAdoIOjTPOP7834v37zlNo6Cq852Mr5+KKitY6/f9IgCSSJYprpqAAuYGQSrAsYrbgzy1k2Pefrlp1R+kKG5qyIOHIgnhN8hhT0VZnY/9DjdSL/HcTXPWDZGaV8dL6h7ty12YRA8NbeiKp31H18j1vTDCnEZ9TargZCH19UlKkmM4p7uyXnq5ZES5rWMcpSOus4mBSkqkMqQWkUSjrePVuTyCipa7Tk1ydL9oqUW7OCdW1RqufJPDLuylRidLTkkiKaEFwrIYZoYpCFaNoshgr8imHY32jBtK+YxF/T++PAMpWg/DMk0M2v7+qqC0CZCnZHGcuqZVIkBCGQQqLz2JIwyjNOU0whrwfVF5uWTEsQAh1AZmCcwvvAwdjwT97cYXdkeHLZMMp6zlZRSbDMNOPCcDjLmeSKi1X0xywUPO09m85yOM0irBFB13tKozFaIUWk+x+MM4qBK9H07nMZmgeTyK3YNJb7OyWHs/xTffSvysT+hx6vE/nvKL7OAUuWKH50OOUXRwtWdRQw2ikNXRpZeJ9HNW56x9FA5a96x1aRoKXkw/M1B+OUdWPZzBs+uayQwrNuHEGkeKDUkot1x6ZztNbhCYyMAhEJQH2IEp+NdWgpyJKofqelRgmPR0QkQwg47zCFYJoPMrttH73jRKBqYsul6WMyvxqGvmqIG/9/USX6XUj0iiiLcPVZr2YQhmePZWmUrO1cYNP2TMo0zit8QCdQaMUCQWYSpkVCIhUXm8jqrDqBJKG2Fq0EzsEkT+j7QOfhbNXydNUBgX92MGaSxZbJprGcLaMVmxSBUWbItOJn5xWTLGFnZCiM5sN5TZFA3XuWTU+iFfvBkCaKzjm2y5Rl0137bMJnGZp9gMNpzs6dT1fbXxcT+x96vE7kfyAxKwx/8mCb83XLsu5ZNB2FSciUYN32XG4ifXl/HEkRTe9472zNR+drvA2cV1ES9962IpGSX5+s6ZzHJIK7WxmfzGuWjWVWptzbyplXPasmvmauJXmmI6JlnEaPxGXD44sNqRKcb3q0UGjlcCFgXUDgaRzsTTK0kpF4kmh65wkeWu/IdEIie2wQNL2NeuY8Sz439Viej4TBc1INcgA8q0RvLgTf9iQOEXGiNIT+2fcWiMbJeRKTXCKg1JAmgsJoWhsRKNMiwXtYNA4pY8/86aoh0xJPwDmP7EFLGa3dvGBnnFB3jsxIskRSd46TVcMbOwXzqiPRkp1xxqrueLKoeXt/xIcXnqrpqZzDB48T8HB7wrqz9J3lzDq0gq08ZdX01J1EhKg3LgWf67P5IobmzVbKyaIe9MXlp37v2zYIfZ3I/4AiSxRlqvn4fDNAxizOS86WDfe2S0aZvt46di6Sd7yHMk/YWMflpkOKSNx5uu44GKdMZppES0aZ5o3dgrr3ZInCaMfBNEeJgCe6jedGs1sapmnCdmn4fz+Y01uPC6ASQeoUvY2wx62RQQTF/Z0RzjsSrdg0FqMVB9OUd0/XVJ1DSMFqFdO14oYZ8JVV3IA9f/6263mmE5Lq2KLBR4KL879/jPo3VfkLInwQH02TVzY+pomLHAKKQdEwzxWzLCWIgLcBgufJZUWZmkG6Ng4KnfesCIgAJlUURg+cg8D+KCNRkjJL8N4zyROMkjzcidffsurJTMSAT3PDOAu8sTtCa8HfPl5wtmrZHxuEiIAACdzbLvnwfM20yLg1zXhzb4SUgrd2R7TW8fb++HN9Np8faL5Mo+jzfu8PPV4n8j+geJEx84dPN8xyw6azUQVxuND//mjBnVlBZwLew8hoji9rPjzf8PbeiFGmEBLKNIli/rpjp8zYdI5poSMRo01Yt5bRQOpoesevj1bc2S14Y29MbwO/OVuzNTKcreKisahbMqMiTV8NfdRJzuWmx4fAJNdMMsMb24F143iyqBHCkgqoQ9QyzxUEOWCdhyT0ovDE9gFEo+crkss3UWt9E0k84ZnVnh36UppBx1vFhdH5uHAjoTSxVXFlKFzbOBQcp4HcaC6bntY6UilohxmGtYFeBXQqKBI9sITjgi8RbJcJrfOcXtY8nseB448OJyipWLc9UggeX2wQwJ+/tcsHTzd4D5d1y6LqeLpuebg7Ym9ieGtvDEKQKEGqJW/vj6k696UYml+kUXRvu3jN7HwdX2980ST985573pg5Gdh0rXUY++mtY2f9tR7543nFqu6Z5gnzqqfuHYmS3Nsu2BllhBCr+FlpOJgp9scZp6uGj8/XdA52R4a/+nDOqu3RQnBgM3obOJhlvHuyJlGCvbFBySiuJfDoRHFnkjIfjD77EM1t55sG56Bxnu2xYVn3bNKeto9beMdg5EystAfT9s+EJlbfiYoD1CtH96te+7c9rtpQVzR7H+J3kGRwBSAaZZpUR5VAHxzBS4pccbZoqbsQhatUnFkkWpIpSZon1K0l1ZoslZSporWB86rj9iSnTDVaSERwWO/5+LyPlm+TjKKPImp/+cEF2+OUW5Ocn96bsjtKee9szaqxPNgp+Oi8YmwMWRK18bdKwzvjyaD3EhFYUny6cn5VAMHzHI4rjaLjRfOa2fk6vt74okk68LnP3TRmTobKu0iiKNHu+Jlg0LqxJFry3umaaWHoO8tl3XO5aUlUHFRpLXnvJN5c3gd663j/bM29nYJJpimMYt067swyjldNxKkLyFLJJ5c1Pnj2Jzn/0ff3+JtHc04WDbNCMMkNwcOsSAkh8INbJY11tDaQJZJRqtkuDceLmkcXFfOmJ0/VsGhBZaOL+1V13fmoosiAL79K0pYIuxMy3qyNdWya7w723BNvXqPBDR6pYpj2Kh3/HUIghIBRiso65k3LvA64KHuCklCkkroPrHvHLNUIAZdVz3YBqZJcri2pkYQQaHtPpoY5RIA8kaybntYJcuPZKlICga739M5xf7tk01rGWdRqOV23nG8Ee5N0MIkI3N2OBt9GSc7XDb2T+BDYHaWfqZxfBUDweRpF97aLb10VfjNeJ/JvIL5okh5/fvFzzxszayVItMR6N1DnA+vG8uhiw8O9EU8WNY/ON/z9kyW3xoZZnnJrlnO+aqOinffXi4qSEW642PRUreP+VsH39kfUvccvAne2M3oPXedY2C7CweyGt/cmHIxztkvDvOpZNpYyUXgcRmvSJJJJpnmk8Lc2EHzUSX+67gjBUdUeIwV9COQ6Jpk8jZVmb+OwTjC0CobvUABax0FfIDDLDV3X0X3LsOc3P/PzEYifvx+OkzImrX5Y6Ms0QvmsC9F4RHgu66hYKeWwAHjP/iih91D1HqMF0zxBScmi84TgybQmTxO0AKEi8evP397j0XnFRxcNaSIQCHzwbBcGWUrmVcu0iHjwk0VNYz3eeaSQJFJSdY7tIuHh/hiI17ctUqquZ5wk5EZ9Lt77i3az3xWRrOfjdSL/BuJlFP7Pe+5wln/KmHnZWLQU/Ifv7ON8YL7p+OhiQ6oVVRs1nrNEc2crp+4s24PxcmMti03PODc0vePudhkXAiLi5Mmi5kjV/Pj2lI/nFTtl7MFXbY8PgkBgWVtSJXiy2hDwaCHxHmQILKsOJQVv7eccTHNOVy3OEX8nETyad5wta7QMFEZTeY/QYJueUinKXDMymvN1R5FGfHrjYDOU21dJ3dqIYmytp7c9SvPSKefNEdc3nfMNz9QfX5Ssnx/HCQYT7GGxGwQFSWRM6NbBKNeUw7G98+xPC5ZVS9X7KEecQN/HvrnRQ0IfziNVgtIkZImn6QPTTBCcoCwM92c5syJhnBm0FPzmdM3eyPBHd6c456Mcg3U01jMrNATBX394gVaS1jp+eDhlf5qzqi3WD7ZqRl8n4DtbBXde4Tt7GS78uyKS9Xy8TuTfQLyMwv8yP8ErY+b9G9XIZdXx0SCmpXPB6dISCIwzxc5ows8/WVAoyaLuIAgSLdgbp/zso3NmZcooS2j6qIFutKRuYx89lRHR8u7JmjxVQzUn0YRoArDs2R0bPpk3rJueVEdiRyIE4zTheF5zvmzZGRu8ir3cREuQEbMsBVjfI4InmDgc1VLRO4tWILRABigVdH2IHqAi9sUTGRmKwUOvXm3cGIjsRjlY0jXfID7RDufSDufwvKzv1UIjh+cSBbNRgrMuGlzL4W+hBHVrMVoOkENF2zrubJdMigTrHCfLBmcDuZEE77EufocahQ2CIpFR0EpIjJS0tsdIMGnKfmkYZwlbheGDsw1Sikjm2coxQlJbx9v7E3ZKw9N1y5NFzdbAGfAhcLHuOLpYszct+N6tMVmiCCH8VhDAV8GFfxdEsp6P14n8G4iXbf9e9NzV71xtJ6+YaxCrlL/5eM5803G8rHl8WdG7wNt7I6z3JEpxOLipbDpHCJEZ2ttAF8D7wMW64bKxjI0m1ZKm9/zyeMXhLAVSDrdylnWH99E8IFGKaZkyr/qIXigSOu/RCIyO1dlFHZUbpQIholzu8aIhSwRKCPZHGa11CO85XlsyrdBKcm8r4zfHK5QUpAPype0dSkIuYVIaEimQSrBpe/reI6XAef9SjZYAdAHSIUuOh778NzEgTRhgk0PcRN2EG49lGoKD/UkSGZAO+uCZJpG44/CM0ohY2h5nbJcpzjlSpag7R98HRnlC13tyI7GhQ7uIVCkSzbhISVXABUi1Zpxp7qqCurf0NrZLbs9yjuZVZFcmCi0EZ4sWAqSJJNUC6zytddyeFuyUaYTAVh1bI8PGBu4OxQj89hDAr0uQ7tsWrxP5NxAv2/49/9yVxsTnbSePLmueXFY4D9tF7FVfVi3vna65t11wWXdkWnG+bkhNRDIUieaiark3K1i3llXj8M7T9J6qszzYKVlULceLmtvTjJ3S8NH5hmmR8GCrJE00R4sa6xy/Olnyo9sTMiNZ1o5129O7iEMutKRpIhvwYJpxNK9496yi72FnDPuTnCyReESEngnB5aanbi2JEYxTw7zu8CGSW4QQgziYQEgQIaBUNC5o3WcRLjd7zAnPSENX4lwMZBn3ipW5vvEanxdXGjJyeM/2c45rbxx/lcCvqm/BIC2rocgkRkgyo1g1PpouDHo4OpP0XaBIFEWqyaSgMAqjE6yNf4vaOkZG43WEIAYfP3/Ve/JUc3eWsqh61r0jM4JZabg3zThatkgRIXxVFwlEW2WKkoLGetZNhxSCrVFKoiQ/ujOjt47H85reRz7CD25PCCHw8XlF1UWpiKp3COBHh9NX+9JvxNctSPdtideJ/BuKL9r+Pf/cVU/w87aTJ4sagSBRkBmNVgqC4NHFhp1Ryr1ZRuMDkzwh1ZrzTct2nkTMsFLkScSkny56jI4iRmEw3L2oOuabhjd2x/zRnSkuQNV5Wtdxa2wQIdCGhvN1JIJMS0MInt56ENG4IjOK3nt+fbyizBLSSpGoSMk+nsdB2CRP2BmlHIxT/p8P5hzMctadIwjItSJXknljyZXAekfvBN7H4ZntLe3QYoGYBK/+uxmWeMHnKiI7VB8TmtERtvgq8TIJ3qu2jbtRIL6ILHRzgblCoFwd44bXMSriwevWo3IRyVfeEnygMBLnQRDbJd576t4xyzW3Jxk+BM43gb1xdv0eq9riB9/LPNHcNopZnvB03dH2nu0iWr29e7yit56HuyVKSiZ55ASUgyC1XBEAACAASURBVDqhdY4RCftjQ905ikRdM4BneULvAlpGlU6IvfqtwrCue1Il0QMb92cfzz+li/Iq8V0dZr4sXifyP4B42XZSCIFJJG3vsS72ubdHBi1hmmmKNGEv08yK2Lf864/nJFLwzv6EbtgOm6qnt1GUSwqJQnC8rDlf1eyOMzrrkEIwSjVz30XMstIY3XM4Sa+1oPNEsVGaRHv6zvF01bI7MtS9pbNxW54oFVEWWtJ2LupmZJrdcYZSkq3CUBrF+SaKd50sanpn2RmleB/Y1IN0gEnonCWRgiIJtA6wscK2N8S6rhLp1TcoZGxVJHpQWJQwM1Fet+PVhqCfx+TMBu0AK6C2cdFIBTT203PYq/cYDVj53sVF4up8JfF3NDDJBNZBHQKTzOB8xIhf1j3OC6QIeALCBxa15eePF4QQmOYarRXv3JpQdxbnAp9c1ryxN0aIWMXO1xYjBcFE+eN7uym3JhmJFlzWlu8fjHm4P8IFjw+Buq/QQbFVJvTWkxnN7WlOnigeDQxKNbS8iqBBRE9aIeCHh1MSLTleNOSpJPMhciNCeOWB5Hd1mPmyeJ3Iv6H4MtKaL9tO7o9TjhcNZSaxLlC1Hus93zsYkacJb+yW14n2eFFzaxKPL4yi3UTruEmqyPdG+ABN5zhdNaway84oH2y6FJd1x4PdkkQJTlcto0xjdMH5uuPRPPblc6PovWNV9dzZybm7ldH0cDRvEBJ20pRuZGjagBCBVjhujVMSrbEu8Ml8Dd4yrxzBRdOKUap4fNEwyqIQl5QCqSRiKLuNSUhFINR9lCAg9tIdkdnY9s8SJETf0ARAQqpACwEqIB2YIaFeVd5XCTvhmSDVzce0jEqNnrhQdH2sopOh6vQDW/X5Sl4Dpfn0YpAKaO3QUkkGVIuPJ2q0ZJxpUqWvDZMVxLZY6wat90CRak4WDeNcUWaSnTxan2UmYZwpnBDsl4bGOiaZoek3CGmwTY8xirZzjFINAW5NMxpneXS+YZTHwfQk03x4tsY6T5YqtnKDtY5snDJONc4HlpuO3kUUVWY0ZaroO8+67Wkrj9GKREmCDNhB0fC3cc96Hc/idSL/BuLLSmu+bDt5uFWwqDs+vKhJlKAcJxgp2J8V5M8tAq31pCrqPButGOcJl5uW1gV2SsNl3TPKFIsq8HBnxKa3FANRZJIlLCrLwTTHATsjwyeXNUoJDqc5T9c1755smBWaH92ZoaQk4Pnl0WUU6BKS02XN44towKuUILGC3sHuRDNf94Qh6egAl9bRW8+y6tFSIAIRj+wDQQSkFpRJwt40Y151KBET3qrpohRuF4WgTBZ3Lcs6antcEYuunItGmRxIL9G9PZOxTbPsPq2ueNUSuEriEEk1WYhYdwBkbImYJIpMtZ1/YTtGMlTiRLy8VvE9xll8R6niHEDL2PYKPuB8QBtJ01lUH6F+86rDaEmqFCbRJEqyNdLkSUKZGcZFXC16G3AOHuwUSASyBY9nUqTcNvDReYS9ni1bWMW9g9GSd882/Ptv7rA9TrmzXSAuBW/vS05XLXemOamWTApDqiVlprnYtBTD4HWURkvBvVFGrns6Gzi6bLi3nZMoyaa1rAZvV+/Dt1In/PcVrxP5NxBfVlrzZdvJLFH88HDGNDecruJW9WCaXyNVbi4CkbnXMspNTK5aUhjFwSzn3vAev3yy5LLpUUpyOM3ZdA4rBVt5gvWeItVM04TjZUNpNN7Dh6s122WKlnF0t2o6lm3PurY0vSc3itNVS9M6kIF13dOHwPYoYZInLGrLrNDcnqU8vmzRMrCda/7dJ5fUvSVPE+quJwTBNE9RWuAIGCFZ1T0ixDq56hyNDdyapCQjycmqIniJUFBqF6F+Q3PaAK2D05VjlDnyVFFqQ5lqLuqOxraEgQHpBrOLqY4VPiFCF5WFJIUMrncDHhBSkorApo7vda1IyLOFRCvItQQh8S6yX41SlKnADwDvSWHwweNDhAZ6FyI8sLdcNj2995QyKgOGILhYtyRSYLQnH7TmhSBatxG4t1PQ9o5skCneGxseXdQoBFJEJcFNY5nXLcdLyeHEoLXgL94/5+5OwSQz3Jll/NmbO0zyhHdPV4xTzfYoHfTM1bVLz6azlGnCprVsj1KOF/XA4GyZ5oGjy4rbs4JESZz8duqE/77idSL/BuK3gVC9bDuZJYrDrYI0Udx0UHl+ERglivMBrJwlko8vIprg7nYZLeVax73tMib8jeW86jkYGYSSNJ3jcDvnrb0Rd2Y5/8ffHUd6v3M83I+ORFpKTlY1i3VP3ViOLmvyVMVdwDTjaNHEtlLVsjPK6VqPzwOud2xv5fQefnJnwvGqoR00PyZplEJcu4AcZAIQgv0yRYTAou5pektjXUx0SlB3HpkptssCCRyvKvoAmYoVcDWUyYqYXKsGNB6TSxrrIjkmgVUb2xtXFbTzsW0SANlDkcHOOC5gVWdZNz3WQTm45XiGqhsozCBy1T0jNfkAwl9ZkwmkABckqZIExdDOMAghSI3C2dg2O1lZdoqEXMehtAuAtXH+oKMB9zhPybQgCKgay+1pxihNyBPJv33vjKN5y7RM4rBVC5Z1z/40J0kEd7OCRWu5tzti1TiMlsw3HdMs4dF5zT9+kF1fj3FgLOmcvx6cp1rSWk+WSBobESy3pjkhBD54usGFwK1pHHJ21l+bonzbdMJ/X/E6kX8D8buAUL2sXXMTo/62Vmw6S2M9QgjubefUg9OQ0RItBfuTnL1xZHBCYH+aUSaKh/vjawbdnzzY4rzq+GReM0o1nfWM84TfnKzYtJYgBK11rDvLJE+YpgnvHIw5uWxYtZZJrui66JB+f6tkNrjBFCYOZv/uaMFuaajTuBPoncd5R2cDO+OUg0nOqmrZtJY3d8ac1w2r2tI7R2N7EqsotGDR9GSJIpGB3nuqKkTJXB0TpQKCABtCNNLo3WAELJmp6FOJgNIkNJ3FDfolRQYKgfdQOYcWkuDADPrr3odnZJ6IrozVPJAmgwuS87H37kGrAMLjgmQ0vNeq6ciN5p++uU3A0/WeD8827JYZ01xTW89H5xs660kU5FqTJQk7RcJWHmnurQ38ar3EuujF+suTJb0XvLlfsKgcF+uGvXHK9w7H5Frz3mnPKE+YFAYpBYuqQ4qA9YH9SYZWw4fhubafFNSdIxD76yfLmkcX9fU1nyfqepe3rHucj+JYt6bZVyIJvY7Xifwbid8FhOpV2zWt9YwyzTiPXV6joot6O5hp5oMo1yjVbJWGi3XLsunZKQyt8/zb956yaizjTF8n9ztbOUoIji5rVk0sdes+3qS50dA52t5z3EUCybKNRtIjk1CJeONmiWZZtRzenrFpe9Z1zwcna7JU0fueUaJos4TKRmXHUar44cGIX58GOutJE4lpozXdqo7O7CF4nm4cbec4mOVkWvLJskGpnt4NwlEq5qQQYjJfVA2JUKSpQgiJkQJNQhc8qZI4rzBAZiRSCMxQUQbr6IgoGBU8jYjO9JkBacGJyEJ1gx3blYepUnGY21qPsx4vBamMQ0ytBGOTsD/J+OHtKefrmt8cr1h1lnGqqDrPquspjcJqifOBzGj+/K1tDmcFIQQ659kdpZg7Ezat55fHS44XDbujjMxoRplhkiWcVy0Jkod7I+rO0lm4O814dFkzyqPkQ/CB82XLn765fX093dzxZUbTbFomecLxouLd0w3rpuP7tyZUneVXxyt2y6ivcrZuaXvHrDDfap3w31d8pUQuhPgfgf+SiKx6D/hvQgiXX8eJfZvjdwGhetV2zfO7ga3S8OhiQ5qoGxXVs23v7jhjmifUg9vKlbLiYqiotkYZo0RxsmpxPtB0PS7ATpkwzVPeP18P/V1YNZajRc2m6wexL892aXiwXaB19I503pNpxcm6ZjJKqBtLNoh5BSEwUnJvN2OSRyf2RdWjlWTR9DQ2slYTo1lXHd3wnUgpaJxjqzRRP7vr6VxEh0gRk6wIMM40VevQGqQWTLRBS4kLnnrV45TEusEFKaio2iclLZEynxpJZiJ+WghBrhTzumOcBNo+XJOEhIiqjskgOyCxpFqy8RB6x6QwjDPNVpGSaokSgYt1zV9/dMm6sRyMM4QSLM8rUqEwmUQHwd3dnHtbJbenOW/sjihTHcWovGeSjzheNrx/vhlc6SO+f1YYChPP88mi5t52xHV/fLFhXvdsFwl175BC8dMHU/bHGa317NxIuFfX8x3gsur4+6NoILFTGu5u5awby+WmpzCKUW7IjWZ/LL4TOuG/r/iqFfm/Bv5FCMEKIf4H4F8A//1XP61vf1yJ5V9BEK9cwn/bZP6q7ZrndwNSCLbKlHzoaVZdx944I9WSzno666JvY2uxDoo0IiOsjm0K6zyTcc6b+2N+9tEFx8toE3Y18DIKSDVaSlItOa/6KA/Qe3wSsDZw0fSsGsso0yw+7NgepXgP7+yO+dmjOVoKxplijGZtHTbEncS97RKjJL88XiKFQMtoftH3FiGiwqJSgonSZCYhTSRv7o7ZzlN+ebKgcxE3qAbp10wnpEYjfCBNEtresrQ9beeRQColPk2oe4sUAuc8F7WjaXsyk5AnkTUrpSSESNDRCrTQFCNFZy0SSeN6ehtIk0iw8QFyk4C0dJ2j6T3TDHZGCQfTjFXjOFt1fO/WmF8+WUbSzfD3sz5we5rT9p5xZqh7x+P5hu1xynzTYp2PmvMiEnO8c7gAT9cNexNDCCbuwIzm7nbO/jTDKMn3b035qw8vaGzUkf/p3YKtMqV3nmXdszNKXwih3bSWe9slWsVWihCCSeb56GJDpiVHlxVGSYpUoSV8fL7BOs/BNH896PwK8ZUSeQjhf7vx478B/quvdjrfnfi63b13Rinvn67Y9C72ZqW47mnfjKvq6Whe8cn8swiX9LLmZFFzvo7+nzujlF8cLThe1mxaz/4k6p4rAZ0P+BCGoZZif5rzz0rD//mr06g1XvV4H8iHvndrJXd2Si6WNY8vW5wLXFYdVW9RMup87A3kIucDl1XP7WnG8bJh1footZtE+65xlnB/p6T3gf1Nhx2kbi8rS9NZ8lQxzjSF1jTOk+hA00W5303vuDPLOV429NbTu8A00zg87+xOeHRRc1m3KCHJlaLFopXCAaWRpCYluEDnHXjBKDPM8gSUZF33VHU7tG2i4bRWkr3ScLSIWPtpkuIJNJ0nVY4sTRincRFolWNnnDHONLMiYsD/0d0px8uWt/ZGnK8bvBdI5wiDdKyUgjJV3N0qWTYNT1c9756seHMYVO6M4XTV0PSet29NWXeW1cZSt5ZPLmpGmWZnbMgSzdFlTWk0t2Yph1sZy8pyf7cgAHUfETD3tz+tmy8FHC1qfnOyQgjBg52CVEusDyRK4ILnYt2ixhmTLKHpHe+frdgdZ7y1P2JnFAlnr+O3j6+zR/7fAv/L1/h63+r4Xbh7ByGeMUzC8PPnHUvUdLnq0b93tkaEwDg3vLk3oneBZdNzNK/QWlIYTd11nCwabs1ypIjEnN4F5lXL+2cwr1oyrXh7f4SWgnzZXG+pi1RfG0ukWpGlCU8uaxrn0TIiM3rvGWcJ51XHwSTjeFkjAxSpwvnAunOkiWQ6QNr++qM5pZHcmWU8WXbcmmbMcs3PHs9pWs/OOGWWpzzdtEyzhEUd3ZHGeUJTw6zI8MGRCMGsTDleNszXLdY5bO9IjCBJNHu6YJQnXKxqvJRMsgRJbGe9sVNwvulRUhBCoFeeWjhGuSSRih/fmbBuHVoIGhuouoiu2S9T1q1jUQmkCtR9QMrAVpkg8ZyuW7aWDW8djJgVKVXv2bSO+zsjVrXldNWQJ/Ha6VwgU1E0rO3hrYMRt8Y5rXV01nFZdZwuWgojEULycG/MWdpeG35+/9aYXx4v6aynai3zTcfPH885mKY0ned0pRinmjuzAiEib+Hq+vUhcLJsMTp+L8ermsfzmv1xFFQDeLpqmZWG3kXC0qaN6Jpl3fNgp7y+B14jVn77eGkiF0L878CtFzz1L0MI/+twzL8kktf+5y94nX8O/HOA+/fv/1Yn+22Kr1vF7XzdMskSdkfPnIK6oWXzMl9Do2PrBAE7488+tj/OqDuH0Y5V3XFyWQ+mu4J1azmYjCiMwnnDv/t4zsE054/vb/Fk0fDR0xVKyiizqiJd2ww2cz5A21smuUEA86pHAaNUs2p6nHU8WUVhpsIItsrokrRse/bGOYKA1JK+dZRDKyg3mh8ezDha1eRJQqYlB5OMVdMzzhWZVqTKUzeCu9OMRdOzaXqerhvwgaebNjrNZwkH4xyjBJ2LbaRJYZAhXPul7o2jKmRmFGerjjSJQ8HDScHexND1jk3r+dHhGK0Vdzc5H55X9NZzuFXgvefnR0vmVcckU9zeipjqs1XL7kSRGcXji5q6s7x9MOFi3XBve8SqXlK1sa8+zg39oEn78fmGuzsFB+McHwKnq5bCKE6WDWfLGqUkRaq5Ncn5J29ss6ptRBcBt6Z5FBDTkouq5WzVEULg33t7j3VjOV02pEryxw+2B4MQP7x2TOJXTM1JGjmwT1ctSgk+vtjwybzmJ3emHEwy6kEBc5xG/8+r3edrBcOvFi9N5CGE//SLnhdC/NfAfwH8JyGEz9WQCyH8K+BfAfzpn/7pN6gC/Q8jvm4I4pdZGF50rH+BOebNx7IkwhIRsO567m1HzPrOKGUyIGAmecL2OKXqLCYx3Nsq+P6tMfNNx19/dEEIUaUvLRTzTUumBIvakzmPdYG9SUplHRrB6aLBE9EzRgnWjWV3JFl3lqoLHCqYFbEyl0ry0wdbhAC/PllSZpI/39+haj1PNy1N1fPmbgkBPni6jv6gMsINUy2ptUQG2BslcZg4y9FSsmp6EhERKlUXcdZBxF1ImUQ5hMYFJoVhqzScLluChCSJg0TvY9J/PG8xSvLGfsGmj1hrOQyWH+4UPDWKPsAkjwzafZGyO4rmIfOqY1l3jDLDD25P0EpQdZYsVTzcKymzhIt1x+Wm5XTVcG+n5Hwd5RWMktyepnx4XjHOE5wPjIwi0RFxU6aad/ZH/M3Hcw4mWWS/Nj2L2rJVaAKxNTTNDXujlNa668R7df22Nn4eIPbas4TcSH7+eMHtWc79rYLd0hAQpIliOuj9tL2/LiSurn0G79hXka14HZ+Or4pa+c+Iw83/OIRQfT2n9N2IrxuC+GUWhhcdK4X4jFygFFFx73jRYLTirf0RdZdjvecfP9jm6LL+zIIwyxPqzvFgp7x+LE80e+OMprPMqz7ii+cWpSRv741IdRTIWjcWJQVSC6ZFgpCwVcRh3NGipveBW+OUqnM4Cyerhv1Rzk/uTlk0PV0faHqPSSRbecreWLJpHXv7KamSQ2+8xDnH06qPMqxSMko0SglmhWFkEiaZHnYsgmLwA11UNdPcUOaarnMRCdNZ1lXLtEhpfJRmfXN3FPXcO8+m8yhl2c9zDiYpeEHwgRA8SmkKE/VlBIF1F6g7T+89+2PD2WowD5nkBAKrpqd3nruzknf2JyglKEy8fae54e9ay7Qw5InkZNnQ28CfPdxm3fqhF53w0dkaL+Bs1bBue358e8LhVsHfHS1wLlCkit0yZbuIeuZC3rggBNd6PfDs+hXDEFUg6Jzj1jTndNnwYLfk/na8Bpre8ehiExearYLSaC7WG7bKMrajXGBVdwQhSL6mmdF3Lb5qj/x/AlLgXw9/5H8TQvjvvvJZfQfi64YgfpmF4UXHFqlGhDAQS5499rRt0CpW49YFAlEa9cpf9NFFrKDq3qKEYFX3VNaRJJJJqlm2lk1jo1zpVsG0sNye5WyPUs6WLT54Tlft9VAz1VEM68FugRCCddsyzTP+6O6MXxwvma9btBBMS4MLcDjLUTJqkhSl5M/e3OYXRwt+8WTBpDScbxpEMGSTlJ0y4d0BZeEFbBcpi6ajD55N7SnThDyJqn/TPKJslJTMMo3cFjzYHbFsOjZtHJpGBUhJnsYWiBoYpVVvsb1n0/ZUXY8XgoNxRm4Ut2cZq9qyV6QUmea90zVKCd65nWJ94PgykppWdc/93QLvBZ11qGFRPV1F79ZPLmu0kgNz0lGmkiCi1IEQ0Wav7WNP/t4wnBRSsJ0bpllCN8gMf3C2pmot751tuD3LOZxlZEZyNG/44e0pIUQiUNU5DqfZZ65fAXx8UVGmmoNJZGduWssbu+Wnjr27VfDksqbqosLmnzzYZtPa62s/MxEN9Sozoy8jOPddia+KWnn76zqR72J8nSpuX2ZheNGxb+1Fiv3zj0kRK88IJZTcGoSS5pvYQ102PesmQgqPFw3TImFv0J7+xdEi6owXhvN1S9073tobXZ/TGzsli7pnb9JytmpwIcqiTgaSihTwt5+0nNqGrTJhK0twNqBkNF7ezVMuq55l0/OjO1Muq55Maw63CgSCo0VFkWo6H8i0xofA4VbBr46XGCFIE0nSayZSYEYRImkDbNooGlUYybQwvLFT8viiJpGCVdVHtUEieYrg+cHt6bAbsNSNow+ej+vqmmhkgONl/Axlqul6x+m6RVcthECRaPIkSr6eUFN3Aa0FbWep+gBEWOVl3bFpLZ0LNNYykgnLuuf90zVaBh7uT3nrYMRHTyuerjuEkNyZ5SghOVu3TAvDnVkxIHUcF5s2Lhg7JR44WjRs2p5bk4wf3J6wP82oOouU0QHq8LlrNRtQUVfDz9Z6kgHVouSnd4JKSu7vlJ+63q9klQHeP1uTqE9vCV/UGvy60V7flnjN7PwWxZdZGD7v2Ocfm2Q69qlvtGg6G6vO/XHOqrU4B2frllGumRaGnXHGk8uKUaopkoRZmWJdYL5pOUoUD/di+8GHeDM3vWNrf8osTzlZNlE10DlGacLe2HCx6TlZNkgp+cndKVJK1m1PphVP1821ucESy/G65mCaR7MDCT+8nfDuyYbzqmMrizf/NEv48d0ZTe/41ZMFmcmYZprHFzWt82RKURrF9siQKcm6dby5V/LB2Yqny4a19UxzTRhQPufrBu88s9zwJw9G/PyTBdYHzlctaSIZFylCwv/38ZzbWznTMuVs2TFvemQIQyINZErzvVtTHp1XHC8rzjY924VhnGuCD7x/suZ7t8c82Cl4sohzhHVraXoXDZmD5zcnK7YKg5QJRiv2JxmP5xWLquON3ZjEOxe5Ab31JFIxzg3fu6XYGWXUveXuVs5be2M2rX2lqvf5a+kq2cKrtw1ftTV4c1Df9I75pmPTWS7rjh8fzr6zyfx1In8dXxif17IpTDKoKQpuzzI8gVQJWhfQSnCyark7y3EEhIhmz0XQnCxqHu6Nrl/3YtORSAkCisFVvUg0gYD1njRR3NvSbJeRbCKHPu3Dobe+MzL85nTFqrVMC828VhgVB5GJkmgp+bM3ZvzFh+esOk9uBG/vl0gRZWJ3xzlGC+rOUqSKe6NokhCE5NY0ozCK83UXTZsTTZmnNOuGZWMRSlBmcYhojKJIVTSXViL2mX1ULZzkmlxL/vai5mBWMM0MszzlyaLi6abl749X/Nn9bb53e8TjywbrPVJFCdx0IM5EPZkRWkYMvRDweB7JNbdnGWfrlmVj2SnN8D3F3cDxosH5QK4l68ayVUbxqpNlQ+ei1ydAqhW3hwp8q0iZFeZTFfOXid+mbVimml8cLQgD3HSUxs/4fPK/GtQ3vRvUFCM0ct3Y73Rl/jqRv44vjM+7KY8uax5dVJwtG/RQNbUu2ohZF0ikGFAhN26qGwOzK2brL46W1/jx+9sFaSKYb3rq3vPmVsabOyVnq5aLTUtnA8577u9ERmdvo2vNP31zB6MkZnivs3VLbz33twuCD6SJ5o/vR9jc01UbZXlDYKs0OO95dFnTNDFBrDuLC5AlASHg6apjq0iwzrM/yahbx844YdNYvIdl3XF7mpMmiu/fGnF02QIRrnhnVlJ1llQrLqqW/YlhnCnKTA8JK+GtPCHREiUFf/vJktuTlDd2S3Kj2DQRGhgQ3NsqeGO35GzVYV0cjO4UUdN9WXUkWpOnikVjmeaG/XHGquuvuQLrxvLoYkOZRnNtQdR9uTmstgOR7EUD8i/bl/4yu8Or194dZ6ybnk3nqDrHjw6nn3mPq8r9SjI30ZLeecphQP1dxaK/TuSv46Xxoq1z08Vt9/bIcLZsqHpPCIG7WwWttdzZyjlbd2ztmBcOzK5u3oNphhICIQXzqmerMHQ2sF0apnnC43kNBH5yd3ZNXIqvZa/lBW5Pcy7WbYSu9dFo+M5BwTjTrBrL2Sqq+1WdY3+akWtF5z1HlxFbbYRgNE7QUvDuyZrEWP6DhzvMMoOgu5ZQeHOvZHp/Rmsdx/OG03XDfN3xR4dTbs1yjJJMMsM01/zfvz7DhcBP781IlOLDp4LdccqitlxWHWfrFiUEVsuI6LGet/cLjJZslYNWvJSM8qgYeVlFX83dkaFzjqqzaAWegFSSmZHkRkZ6f655fLkhePjl8QIlBC4EvIf3zlY82Ik7IqUiV6Dr3bUl23YRvVNvxu+6L32zXXIFZe2sZ9Paz+wKrnZym84yTjW989cyuN9lLPrrRP46vnScr1vGuaHMEi6rqI2ia3utoVGYhP2JZFa02MALB2ZXN+/+JItbZKFIVJSc3S4SMqM5XkQUy/4kypzmwFt7ETlyJSh1JQxltOKN3fIayqZkvKkLo/jR4ZRNa1k2lvdOVvgimlnc3copjWZ/lHFZWyaZonWexxcNf/dkxRvblkmZAhHl0vWeLngePa3YGWV8f5SwaaNq5O1BZOyqIvzPf3KLd882QwWr+P6tMa31PF13NL1DDLC7qrXo3RJ6PqXd/b2DCU8uK7yPVegVZO/udrTae/R0w/tPN4gAZaYoioyzVcu8imYTEqLbfecjwWhsUALyNBK5DmdRluFokGQQQnA4zTh8QXL+XbCQb8aX4UBcFRWXdYSrlpm+lsHtbujwf9fidSJ/HV86rm48ISKKKbi7qgAAEH5JREFU5cowoOocDwf0C0DT55/ajl8l3dZ6TpcNt6YZudHcmubMN1Gt0PvAwzvPhlbxfZ4NwMaZRklx/T5XleLNJDPODXLor96sJreKKELVWs+sMDy6qHi6bghBIGSg6SWp1ry1V4IQHC9bbBA83Cs4XTU8nm8YZwlbpeHppqHtA1ulZlFb/vKDC7ZGCcWAQ//B4YwfHM6uPy/Ax083vLM/4smypu09QsLd7agOuDtJIwb+hiHIzihj2XSfgeydrVq6EHi4VzI2CUfLir96dMHD3ZIfH05QUvLu8ZJ7uwWd8xSpovcBk2icC59qQTzcG33qb/ZFf++b8XVWv1+WHJclih8fzq7/rokS1wJv38W2CrxO5K/jS8RVO+R02Qxklew64a4ay7LpeP+MT/VQr26s57fnSgoez2vubccK8PYsp7NRw/x59uAX3eAvSzLPV5P7k4xHFxs+uai4rFr6Ac6Ih+NNjRpIKYmW3J7mCAGny5YHOyPa3vPJZcU0T0DANFccjDOsc/zlh0se7pUURvHG3oimj0nleS34prOkiWIrT9l0PeMsoUgUpdH88mjJzii2okYD/PJ5JMasMBwv6/+/vTP7jSy/6vjn3Htrd5WXtj3dbvcyPYlEjxKkiawRUh5AZFGA0eQZBELigReQEolRBJk/AYnwABIa8YJEJIQECAkJQSLxytKZyRANIWHUmW737vFSrq7l1l1+PPzqVpfdVa4qu1yL63yeXOXqe8/9tet7zz2/s/CZtSKuK5RrAfl0mtevlHAR9moBacch1worpVyHXMq2SMh7Lrm0N7QIn8cglE5OUxx3Hq2gZxkVcmUgOoX48mKWB/t1tveqbC7bXtIP9qpcWyn0jKH2EtSk2q/blzf5gjeCiOeNgFpg87df31hsf6abyHTeVJ6W61xZymE7gb8oTvnRgwMWMh5B3hDHMfVmjN8a1ZbxPLIZl4WMSzM0lBuB7UTomfYm4UYpS71pvdvtgzqFrIPjCJ7r8n9PK6wXM+xUfK6t5Ns3tSSVc6O1Bo0g4lmlQa1hC4Bub5QIopiaH9EIIm532ewDbPZJPo3jOKyXXNuO13jc263z6qUCgsF7LhzUbP+X/XpIbAz5IMJzbfZKLj244J3HIJROTivKo6zDmHVUyJWBOCrEtunVs0qDxwd10inbG7w9dahLDPW455xNuawVM/z0SYWab3uRv7ZWPPLlfZHZYtPSCq20tN3nfnvc3HGRqTTCIzcVz3O4u/OcQtZDkHa8ea2Y5eaqnVP69LDBRw/LVOoBC/k0ty+XeLhfZ3u/xnI+Y+0WyKc8bq4t8HCvxqVCmiAKbel8GHN1KdvK+rDXnUu7LOfTxIb2Ta1bL/iVfJpLhcyRqkbovdkHsJD1aAQx+UwSTnL42dMaURzTCCIOGwFZT8im7PSnnXKDpUKKqh9Qynls71V548bKS8ftxTi8XxXls6FCrgxENyG+tpxvP6L3i6Ee95wbQcROxefyUq7tkXcKdELVD9lcKbwkcslN4rjIHDaaR24qi9kUP9upUmtGXF/J0whi9p5XuVzKEkSGbMq1fWFaXQ2TDbPNlRz3dw2xifnsapHDRkSA4cpSjjCM2av6LBfSHPohV1p7BCnXVrwuZFPtYx9v0dorlXOQqsaE19aKfHBvr92m9km5wf88PuALN1coZj0wsFOps1rM8PHTCjdW8qRSDq7r4AcxN1YLPW8SvRiX0Gr5/elQIVcGol+ctF8M9bg3+uywAQjrRdt176QZo/1uEp0ic3fn6E2lHkRcW8mxXw1ohHErva+A60h7mEHKFYLYcGUxi+sI5XoICJ/bKPGo3CCb9uzsURFiAxtLWfJZj1urC/zkcZlmZCjXmuQXUjajpmA3WxOh7LS3myAOG4Neyqe5vbHIf97dpRnFuC68cWOFMDLtSUtrpSX2az6fuVzi1upCe8M4CGOCMG5vwE4TWn5/elTIlYHoFyftF0M97jlHsWFzOXfkCzrIjFE4KnKNIOLRfo1nFTvtSIDVYrbtkfthTMZ12VjyWrFy2hk2nfZkUw6LHf8OoFIPqAYRYWwopO0w6iTNbS1KPPcC93errf4uUMx4YITPrr8IE/XbGOwWHtqpNMinXZ4c1tuZMJ3eaRQb3rixQtpzuLdbtVN6DhrtkFUQxZRrAbfWFtqTegA8VzhshKz3sGeSHvF5pzleZFTIlYHoFycdJIba6Y0mvVY6GWTGaOdNohFE3H1WYa9mpxBhYL/epPyswmvrRRaytr93LbBzJBOSzdDEjiSn+uF+rd39MamE3FzO87wR0gxjHh/Y/PEktTG5np+7UjqSZthohuTSXrtF6zAZGPu1gIOqz2IuRaVhi57KNd/OI+3wTjufVNKug2k9KTw99Nsj2W6sFrhUyLBbtdfqtXqgS2tdjzNpj/i80xwvMnLCLIhzY2try9y5c2fs51VOZpzeWKdoHBfo4+dsBNGRwpX1Yqbdce9RuY7n2Ak1YEMHtSAkm3JYzmfAGOphTCmbemkzdCHrvSS07Tz3cp0I26bWGDsQNAoNmbTTtznTWdbx4X6N2MBe1W/1bbGtCESs+CY3keRzSfOoJ+U6gg1RJTMwk+HexsBzP6DmW4G/vbHYNT7eecyEJCV0HB7xpM8/C4jID4wxW8ffV49cAcbvjQ2bCWGMaVc1JrYlBUReR9jFcwUvEpbzmXahSyKs3TZDk8f3Rwd1Mp5jvWpjKPsha4UMqVbvmGYUsbGcIzb0XY+zbAwmXmnn5B3PFepBdMQ77XxSyXgOK4UMO5UGRS995IkhqTZ1HGGtePJNZdIe8XmnOV5kVMgVYHzxyWG91UYQ8f79PT4t+7iew2oxzeVSjrTnclBv4jhyJAYcRgZHjjZ+OmkzFCCKY+7vVnltvUg+7bK9X6PuhzRzKds6oLUWOxWfjVac/byuN9kT6JxCH7bGoG3v1Yhi066SFawXa4zhlcUcX2jN0+xkmJvKeRf+9EOLfE7PfDYmUF7Cb8WGO0m5MtLshsTrj40V0yTHuhF09/iSGPjDvTrZjEvGc3ha9rm3WyWKY/LpFIWUa4cthJEddtwMyGe8rjFgeCFWnexU/Fb3PAcRwRh4pZTl04pPENlmYAZD1Q97HncU1wvWK22GdgKRH0TU/JBK3afS6g1+eTFLrRnxwb09YgM3VwtsrtiRaWclOXcztNeclL0Pc81nJRHzW2sLKuJDoEKuAN0FbtTeWKfXb1MOnXbfj16frwYRpVwKV2wcvJDxqAcRO899SlnPTqhZzNIMY/wwYmMpf2QK0XG6iVXVDyllPB4f1Lm3W6VcC6CVPuiITWGMjOH6ynDCMuz1wgshy6VdFnMpXBeMCKVcimsreXJpj6ofUsikqDbDgY87CMm5nVYnxM4QjTLdaGhFAcYTnxw2Buu3YuCXFuwwYnBxHAiaEVU35NLVTHvc2K314kA2dHt8f6VkBzMU0ilyKZc4a7i/V+Xqcp5XWoVDzTB6adTZqK/3uI1Xl+3ruzvPjzQPa0Zxu1PiMMcdBK2wnE1UyBVgPPHJYWOwGc/2L3Ed28q2XAvs9BtPuH6pMDrbjJ2LScusTMpldSGLC2dei+29GgabImgLhboPbjiJ4+uWdm3f8UzqxXG6raNWSc4PKuRKm/P2xob1+i8tZCjXmu088aVcirRnh0kMu+mY0C0752nF58qiHe5QD6xw31orEBv6tng96TzJ8I182iWODdt7VZYLmfag60E5vm6FjMd+tcpKodAzV32YLCQV/NlHhVwZG8N6/UnYJNtRubmxlGdjKXdqoemWnVPIeBz6Idc7ioaarYnwg9BNCI8P3/BDO3805zlD23583fIdvcl7reOgWUiTLgJSRoMKuTJWhvX6h42B96Nb3HqtmOGTT6vtqs5h9gd6CWEzjFkupNvDN+BFa4DT0G3dTmp6NWh8XsviLwaataLMFd2yc1zH4fqlwqmyNXplptSC8NyzgE5i0CykcaSdKuePeuTKXHFSnP40oYRenm8+nTraXXHMVYqD7kdMughIGQ36v6XMFaPOle7l+Zay3kRzsge9zmkoAlLOjnrkytwxyuycfh5+svHpt4ZhjDMjZJDr1LL4i4EKuaKcgZOEcFYyQrQIaPZRIVeUM9JLCDUjRBkXGiNXlHNCM0KUcaFCrijnxDgakSkKqJAryrmhGSHKuFAhV5RzQtvCKuNCNzuVC8M0Nn/SjBBlHKhHrlwITjONR1EuCirkyoXgNNN4FOWiMBIhF5F3RMSIyOoojqcow6Kpfso8c2YhF5FrwFeA+2c3R1FOh6b6KfPMKP7KvwN8Czj7GG9FOSWa6qfMM2cSchF5G3hojPlwgM/+rojcEZE7Ozs7ZzmtoryEpvop80zf9EMR+T5wucuv3gW+DXx1kBMZY94D3gPY2tpS710ZOZrqp8wrfYXcGPPlbu+LyOeBV4EPRQRgE3hfRN40xjwZqZWKoihKT05dEGSM+RGwnrwWkU+ALWPMpyOwS1FmmmksTlIuLrqlrygjRouTlHEzMiE3xtxUb1xRtDhJGT/qkSvKiNHiJGXcqJAryojR4iRl3OhflqKMGC1OUsaNCrmijBgtTlLGjfYjV5RzQIuTlHGiHrmiKMqMo0KuKIoy46iQK4qizDgq5IqiKDOOCrmiKMqMI8aMv6OsiOwA98Z+YssqoK0ETkbXqD+6Rv3RNerPsGt0wxizdvzNiQj5JBGRO8aYrUnbMc3oGvVH16g/ukb9GdUaaWhFURRlxlEhVxRFmXHmUcjfm7QBM4CuUX90jfqja9SfkazR3MXIFUVRLhrz6JEriqJcKFTIFUVRZpy5FXIReUdEjIisTtqWaUNE/lhE/ldE/ltE/kFEliZt07QgIl8TkZ+IyMci8oeTtmfaEJFrIvJvIvJjEflIRL4xaZumFRFxReQDEfmnsx5rLoVcRK4BXwHuT9qWKeV7wOeMMT8P/BT4ownbMxWIiAv8OfArwOvAr4vI65O1auoIgT8wxtwGfgH4PV2jnnwD+PEoDjSXQg58B/gWoDu9XTDG/KsxJmy9/Hdgc5L2TBFvAh8bY+4aY5rA3wBfn7BNU4Ux5rEx5v3WzxWsUF2drFXTh4hsAr8G/OUojjd3Qi4ibwMPjTEfTtqWGeF3gH+etBFTwlVgu+P1A1SkeiIiN4E3gP+YrCVTyZ9incmRTOS+kBOCROT7wOUuv3oX+Dbw1fFaNH2ctEbGmH9sfeZd7KPyd8dp2xQjXd7Tp7ouiMgC8HfAN40xh5O2Z5oQkbeAZ8aYH4jIL43imBdSyI0xX+72voh8HngV+FBEwIYM3heRN40xT8Zo4sTptUYJIvLbwFvAl4wWGyQ8AK51vN4EHk3IlqlFRFJYEf+uMebvJ23PFPJF4G0R+VUgC5RE5K+NMb952gPOdUGQiHwCbBljtENbByLyNeBPgF80xuxM2p5pQUQ87Obvl4CHwH8Bv2GM+Wiihk0RYj2kvwL2jDHfnLQ9007LI3/HGPPWWY4zdzFyZSD+DCgC3xORH4rIX0zaoGmgtQH8+8C/YDfx/lZF/CW+CPwW8Mutv50ftjxP5RyZa49cURTlIqAeuaIoyoyjQq4oijLjqJAriqLMOCrkiqIoM44KuaIoyoyjQq4oijLjqJAriqLMOP8P7n+S/NQg2KsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x= np.random.normal(loc=0,scale=1,size= 10000) #创建一组服从正态分布的随机数，其中均值为0，方差为1，即标准正态分布\n",
    "y= np.random.normal(0,1,10000) #分布与x一致\n",
    "plt.scatter(x,y,alpha=0.1) #alpha为透明度\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
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